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09:16 Loviscach, Jörn German 2012

22B.3 Tangentengeraden durch Ursprung an Parabel

  • Published: 2012
  • Publisher: Loviscach, Jörn
  • Language: German
28:45 Loviscach, Jörn German 2011

15.2.2 3 Taylor-Restformel, Teil 2, Abschätzung des Fehlers

  • Published: 2011
  • Publisher: Loviscach, Jörn
  • Language: German
24:48 Loviscach, Jörn German 2011

02.2.2.2 Skalarprodukt Teil 2, Orthogonalität

  • Published: 2011
  • Publisher: Loviscach, Jörn
  • Language: German
18:40 Loviscach, Jörn German 2012

22B.4 lineare Näherung für kleine Drehung

  • Published: 2012
  • Publisher: Loviscach, Jörn
  • Language: German
15:08 Loviscach, Jörn German 2011

02.1 Geradengleichungen in Parameterform

  • Published: 2011
  • Publisher: Loviscach, Jörn
  • Language: German
13:43 Joe Leys, Étienne Ghys, Aurélien Alvarez English 2008

Dimensions | Chapter 6

  • Published: 2008
  • Publisher: Joe Leys, Étienne Ghys, Aurélien Alvarez
  • Language: English
13:20 Joe Leys, Étienne Ghys, Aurélien Alvarez English 2012

Chaos | Chapter 8 : Statistics - Lorenz' mill

  • Published: 2012
  • Publisher: Joe Leys, Étienne Ghys, Aurélien Alvarez
  • Language: English
13:30 Joe Leys, Étienne Ghys, Aurélien Alvarez English 2012

Chaos | Chapter 9 : Chaotic or not - Research today

  • Published: 2012
  • Publisher: Joe Leys, Étienne Ghys, Aurélien Alvarez
  • Language: English
1:23:58 Hasso Plattner Institut (HPI) German 2012

01 Semantic Web Technologien - From Internet to Web 2.0

semantic web technologies internet web 2.0
  • Published: 2012
  • Publisher: Hasso Plattner Institut (HPI)
  • Language: German
13:57 Joe Leys, Étienne Ghys, Aurélien Alvarez English 2008

Dimensions | Chapter 9

  • Published: 2008
  • Publisher: Joe Leys, Étienne Ghys, Aurélien Alvarez
  • Language: English
24:54 FOSSGIS e.V. German 2015

WPS, GeoServer und SHOGun

Der Vortrag stellt die Erweiterung des SHOgun Frameworks als WPS-CLient dar. Als WPS Server kommt der GeoServer-WPS zum Einsatz. Der Vortrag wird zum einen kurz die Mechanismen des WPS erläutern, die Einbindung in das SHOGun Framework an praktischen Beispielen zeigen und am Ende die Möglichkeiten, die sich daraus für ein WebGIS ergeben, vorstellen. Das Prinzip eines WPS wird vorgestellt und die Umsetzung innerhalb von SHOGun gezeigt, Stärken, Potentiale, aber auch Schwächen oder mögliche Begrenzungen werden gezeigt. SHOGun ist ein OpenSource WebGIS Framework, das bereits auf den letzten FOSSGIS Konferenzen vorgestellt wurde. In der derzeitigen Version bietet SHOGun die Möglichkeit aus einer Installation Layer aus verschiedenen Kartendiensten, WebGIS-Oberflächen und Benutzer zu verwalten, WMS und WFS-Dienste abzusichern sowie darüber hinaus viele Webschnittstellen über Mittel des Frameworks Java Spring zur Verfügung zu stellen. SHOGun ist somit eine mächtige, datenbankunabhängige Middleware, die in großen Verwaltungen ein komplettes GIS ersetzt. Der WebGIS-Client zeichnet sich durch eine Fülle an Funktionen aus, die weit über den normalen Funktionsumfang eines WebGIS hinaus gehen. Dennoch erfordert jede funktionale Erweiterung bisher eine entsprechende Programmierung in SHOGun. Aus diesem Grunde wurde für die Wasserwirtschafts-Verwaltung Rheinland-Pfalz SHOGun um eine Web Processing Service (WPS) Client-Schnittstelle erweitert. Da SHOGun ohnehin in der Lage ist, GeoServer über seine REST-API anzusprechen, wurde auch der GeoServer WPS verwendet. Über die Verwaltungsoberfläche von SHOGun lassen sich einzelne oder verkettete WPS-Prozesse in einen WebGIS-Clienten einbinden. Damit ist eine funktionale Erweiterung mittels Konfiguration über die Oberfläche möglich. Zur Ergebnisverarbeitung stellt SHOGun wiederum verschiedene Methoden und Funktionen bereit. Selbstverständlich hat die Implementierung Einschränkungen, dies alleine aufgrund der de facto unbegrenzten Möglichkeiten, die die WPS-Spezifikaiton bietet.
  • Published: 2015
  • Publisher: FOSSGIS e.V.
  • Language: German
23:50 FOSSGIS e.V. German 2015

MapFish Print V3: Printing maps like a boss

Dieser Vortrag stellt die neue Version von MapFish Print vor und spricht Themen an wie die neuen Features und deren Nutzung, die Erstellung von Templates mit dem Report-Designer von JasperReports, Upgrade von der vorherigen Version, Skalierbarkeit und Erweiterung durch eigene Module. Das Projekt MapFish Print besteht aus einer Bibliothek und einer Web-Anwendung zum Druck von Reports mit Karten, wobei eine Vielfalt von Quellen unterstützt wird, zum Beispiel WMS, WMTS, OpenStreetMap-Kacheln, WFS oder GeoJSON. Mittlerweile besteht das Projekt seit fast einem Jahrzehnt und wird in einer Vielzahl von Websites erfolgreich eingesetzt. Allerdings ist es etwas in die Jahre gekommen, so dass die ursprüngliche Architektur zum Hindernis wurde. Beispielsweise ist die Formatierung der Reports über eine Konfigurationsdatei nicht sehr flexibel, das Ausgabeformat ist prinzipiell auf PDF beschränkt, es ist nicht möglich mehr als eine Karte auf einer Seite anzuzeigen und andere Limitationen. MapFish Print V3 ist das Ergebnis eines kompletten Rewrites der Implementierung. Dank der Integration mit der weit verbreiteten Reporting-Engine JasperReports und der neuen, erweiterbaren Architektur ist MapFish Print flexibler, mächtiger und einfacher zu Skalieren als je zuvor. Diese Präsentation richtet sich an Web-Entwickler und Projektleiter, und spricht folgende Themen an: * Die neuen Features der neuen Version * Wie können diese Features genutzt werden? * Die Verwendung des Report-Designers * Beispiele für komplexe Reports * Upgrade von der vorherigen Version * Die Architektur, wie sie die Skalierbarkeit erleichtert und wie sie es ermöglicht MapFish Print durch eigene Module zu erweitern
  • Published: 2015
  • Publisher: FOSSGIS e.V.
  • Language: German
1:02:05 Institut des Hautes Études Scientifiques (IHÉS) English 2014

2/4 Automorphic forms in higher rank

  • Published: 2014
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
26:18 FOSSGIS e.V. German 2015

GeoCouch

GeoCouch ist ein multidimensionaler Index für Couchbase, einer verteilten dokumentenorientierten Datenbank. Diese sind nicht auf zwei Dimensionen begrenzt, sondern können durch weitere Attribute erweitert werden. So ist es möglich Faktoren, wie Zeit, Ausmaß oder Kategorien einzubeziehen. Dieser Vortrag wird eine kurze Einführung in Couchbase, die räumliche Abfragen ermöglicht, und die Datenmodellierung geben und dann in eine Live-Demonstration übergehen. Couchbase ist eine verteilte dokumentenorientierten Datenbank und gehört damit zur Kategorie der NoSQL Datenbanken. Das bedeutet, dass das Datenmodell nicht relational ist, also ein gewisses Umdenken bei der Strukturierung der Daten nötig ist. GeoCouch ist in Couchbase integriert und ermöglicht räumliche Abfragen. Diese sind nicht auf zwei Dimensionen begrenzt, sondern können durch weitere Attribute erweitert werden. So ist es möglich Faktoren, wie Zeit, Ausmaß oder Kategorien einzubeziehen. Eine beispielhafte multidimensionale Datenbankabfrage wären alle Einwohner eines bestimmten Gebiets, die unter 30 Jahre alt sind und in einer Mietwohnung mit weniger als 50m² wohnen.
  • Published: 2015
  • Publisher: FOSSGIS e.V.
  • Language: German
1:15:07 Institut des Hautes Études Scientifiques (IHÉS) English 2015

Quantum Geometry and Strings

  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
49:58 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Counterterms in gravity and N = 8 Supergravity

I will discuss counterterms in gravity using the light-cone frame formulation and show that also in this fully gauge fixed formulation we do need a local symmetry to find the correct counter terms.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
23:53 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Quantum Kac-Moody algebras and categorifications

  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:41:20 Institut des Hautes Études Scientifiques (IHÉS) English 2014

1/3 Mathematical Physics of Hurwitz numbers

Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge number of relations represented in the form of partial differential equations for their generating function. This includes equations of the KP hierarchy, Virasoro-type constraints, Chekhov-Eynard-Orantin-type recursion and others. Only a few of these relations can be derived from elementary combinatorics of permutations. All other relations follow from a deep relationship of Hurwitz numbers with moduli spaces of curves, Gromov-Witten invariants, matrix models, integrable systems and other domains of mathematics which are often referred to as `mathematical physics'. When discussing Hurwitz numbers in the talks, we consider them, thereby, as a sufficiently elementary but highly nontrivial model of all mentioned theories where all computations can be fulfilled completely, and all formulated relations can be checked explicitly in computer experiments.
  • Published: 2014
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:05:36 Institut des Hautes Études Scientifiques (IHÉS) English 2015

Approaches to quantum gravity

At this time, we do not have a theory of quantum gravity. In this talk I will first reiterate the reasons why such a theory is absolutely needed, and then review some of the proposals towards it, with special emphasis on `non-string' approaches. The presentation will be kept mostly at a general and introductory level.
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:17:54 Institut des Hautes Études Scientifiques (IHÉS) English 2015

Quantum Field Theory and Gravitation

The incorporation of gravity into quantum physics is still an essentially open problem. Quantum field theory under the influence of an external gravitational field, on the other side, is by now well understood. I is remarkable that, nevertheless, its consistent treatment required a careful revision of traditional quantum field theory in the spirit of algebraic quantum field theory. Moreover, it allows a background independent perturbative construction of quantum gravity as an effective theory.
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
56:40 Institut des Hautes Études Scientifiques (IHÉS) English 2013

The correlation numbers in Minimal Liouville gravity

The correlation numbers in Minimal Liouville gravity from Douglas string equation We continue the study of (q, p) Minimal Liouville Gravity with the help of Douglas string equation. Generalizing the earlier results we demonstrate that there exist such coordinates
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
2:25:34 Institut des Hautes Études Scientifiques (IHÉS) English 2015

3/3 Supersymmetric Vacua and Integrability

"I review the relationship between supersymmetric gauge theories and quantum integrable systems. From the quantum integrability side this relation includes various spin chains, as well as many well-known quantum many body systems like elliptic Calogero-Moser system and generalisations. From the gauge theory side one has supersymmetric gauge theories with four (and eight) supercharges in various space-time dimensions (compactified to two-dimensions, or in Omega-background). Gauge theory perspective provides the exact energy spectrum of corresponding quantum integrable system. Key elements, usually appearing in the topic of quantum integrability, such as Baxter equation, Yang-Yang function, Bethe equation, spectral curve, Yangian, quantum affine algebra, quantum elliptic algebra - all acquire meaning in the supersymmetric gauge theory." 29 avril 2015
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
2:03:38 Institut des Hautes Études Scientifiques (IHÉS) English 2014

2/3 Mathematical Physics of Hurwitz numbers

Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge number of relations represented in the form of partial differential equations for their generating function. This includes equations of the KP hierarchy, Virasoro-type constraints, Chekhov-Eynard-Orantin-type recursion and others. Only a few of these relations can be derived from elementary combinatorics of permutations. All other relations follow from a deep relationship of Hurwitz numbers with moduli spaces of curves, Gromov-Witten invariants, matrix models, integrable systems and other domains of mathematics which are often referred to as `mathematical physics'. When discussing Hurwitz numbers in the talks, we consider them, thereby, as a sufficiently elementary but highly nontrivial model of all mentioned theories where all computations can be fulfilled completely, and all formulated relations can be checked explicitly in computer experiments.
  • Published: 2014
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:01:45 Institut des Hautes Études Scientifiques (IHÉS) English 2014

4/4 Analytic number theory around torsion homology

  • Published: 2014
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
45:19 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Equations for stability­

  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:06:29 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Spectral networks and harmonic maps to buildings

This is joint work with L. Katzarkov, A. Noll, and P. Pandit in Vienna. A boundary point of the character variety gives rise to a spectral curve, and a harmonic map to a building. The differential of the harmonic map is the real part of the multivalued tuple of differentials defined over the spectral curve. Gaiotto-Moore-Neitzke have introduced the notion of "spectral network" associated with such a multivalued differential, determining the WKB approximation of the nonabelian Hodge or Riemann-Hilbert correspondences. We have tried to gain some insight into the relationship between the spectral network and the harmonic map to the building: basically, the spectral network lines are located where the curve intersects the codimension 1 faces of the building.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:54:58 Institut des Hautes Études Scientifiques (IHÉS) English 2013

3/4 Mathematical Structures arising from Genetics and Molecular Biology

  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:50:24 Institut des Hautes Études Scientifiques (IHÉS) English 2015

2/4 Singular support of coherent sheaves

Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference between "coherent" and "perfect" is responsible for the appearance of Arthur parameters in the context of geometric Langlands correspondence.
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
2:06:56 Institut des Hautes Études Scientifiques (IHÉS) English 2015

2/4 Motivic periods and the cosmic Galois group

In the 1990's Broadhurst and Kreimer observed that many Feynman amplitudes in quantum field theory are expressible in terms of multiple zeta values. Out of this has grown a body of research seeking to apply methods from algebraic geometry and number theory to problems in high energy physics. This talk will be an introduction to this nascent area and survey some recent highlights. Most strikingly, ideas due to Grothendieck (developed by Y. André) suggest that there should be a Galois theory of certain transcendental numbers defined by the periods of algebraic varieties. Many Feynman amplitudes in quantum field theories are of this type. P. Cartier suggested several years ago applying these ideas to amplitudes in perturbative physics, and coined the term `cosmic Galois group'. One of my goals will be to describe how to set up such a theory rigorously, define a cosmic Galois group, and explore its consequences and unexpected predictive power. Topics to be addressed will include: 1) A Galois theory of periods, multiple zeta values. 2) Parametric representation of Feyman integrals and their mixed Hodge structures. 3) Operads and the principle of small graphs. 4) The cosmic Galois group: results, counterexamples and conjectures.
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:55:07 Institut des Hautes Études Scientifiques (IHÉS) English 2015

4/4 Exponential Integral

  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:54:26 Institut des Hautes Études Scientifiques (IHÉS) English 2015

1/4 Motivic periods and the cosmic Galois group

In the 1990's Broadhurst and Kreimer observed that many Feynman amplitudes in quantum field theory are expressible in terms of multiple zeta values. Out of this has grown a body of research seeking to apply methods from algebraic geometry and number theory to problems in high energy physics. This talk will be an introduction to this nascent area and survey some recent highlights. Most strikingly, ideas due to Grothendieck (developed by Y. André) suggest that there should be a Galois theory of certain transcendental numbers defined by the periods of algebraic varieties. Many Feynman amplitudes in quantum field theories are of this type. P. Cartier suggested several years ago applying these ideas to amplitudes in perturbative physics, and coined the term `cosmic Galois group'. One of my goals will be to describe how to set up such a theory rigorously, define a cosmic Galois group, and explore its consequences and unexpected predictive power. Topics to be addressed will include: 1) A Galois theory of periods, multiple zeta values. 2) Parametric representation of Feyman integrals and their mixed Hodge structures. 3) Operads and the principle of small graphs. 4) The cosmic Galois group: results, counterexamples and conjectures.
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:45:37 Institut des Hautes Études Scientifiques (IHÉS) English 2015

1/4 Singular support of coherent sheaves

Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference between "coherent" and "perfect" is responsible for the appearance of Arthur parameters in the context of geometric Langlands correspondence.
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:03:48 Institut des Hautes Études Scientifiques (IHÉS) English 2015

2/3 Classical transversality methods in SFT

In this talk I will discuss two transversality results that are standard but perhaps not so widely understood: (1) Dragnev's theorem that somewhere injective curves in symplectizations are regular for generic translation-invariant J, and (2) my theorem on automatic transversality in 4-dimensional symplectic cobordisms (which generalizes earlier results for closed curves by Gromov, Hofer-Lizan-Sikorav and Ivashkovich-Shevchishin). The common feature of these two theorems is that both can be proved by considering the restriction of the usual linearized Cauchy-Riemann operator to the "generalized normal bundle" of a (not necessarily immersed) holomorphic curve.
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
2:20:05 Institut des Hautes Études Scientifiques (IHÉS) English 2015

2/3 Supersymmetric Vacua and Integrability

"I review the relationship between supersymmetric gauge theories and quantum integrable systems. From the quantum integrability side this relation includes various spin chains, as well as many well-known quantum many body systems like elliptic Calogero-Moser system and generalisations. From the gauge theory side one has supersymmetric gauge theories with four (and eight) supercharges in various space-time dimensions (compactified to two-dimensions, or in Omega-background). Gauge theory perspective provides the exact energy spectrum of corresponding quantum integrable system. Key elements, usually appearing in the topic of quantum integrability, such as Baxter equation, Yang-Yang function, Bethe equation, spectral curve, Yangian, quantum affine algebra, quantum elliptic algebra - all acquire meaning in the supersymmetric gauge theory." 22 avril 2015
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
2:22:26 Institut des Hautes Études Scientifiques (IHÉS) English 2015

1/3 Supersymmetric Vacua and Integrability

"I review the relationship between supersymmetric gauge theories and quantum integrable systems. From the quantum integrability side this relation includes various spin chains, as well as many well-known quantum many body systems like elliptic Calogero-Moser system and generalisations. From the gauge theory side one has supersymmetric gauge theories with four (and eight) supercharges in various space-time dimensions (compactified to two-dimensions, or in Omega-background). Gauge theory perspective provides the exact energy spectrum of corresponding quantum integrable system. Key elements, usually appearing in the topic of quantum integrability, such as Baxter equation, Yang-Yang function, Bethe equation, spectral curve, Yangian, quantum affine algebra, quantum elliptic algebra - all acquire meaning in the supersymmetric gauge theory."
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:10:44 Institut des Hautes Études Scientifiques (IHÉS) English 2015

1/2 Introduction to Polyfold Regularization

This lecture will discuss the overall ideas and challenges in regularizing moduli spaces, and introduce the two basic ideas behind polyfold theory: Making reparametrization actions "smooth" and making pregluing a "chart map". [related literature: Sections 2.1 and 3.3 of Polyfolds: A First and Second Look. Related videos: Lecture 8 and Lecture 20 from Wehrheim's special topics course.]
  • Published: 2015
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
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