Notes on the local padic Simpson correspondence
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Formal Metadata
Title 
Notes on the local padic Simpson correspondence

Title of Series  
Part Number 
15

Number of Parts 
15

Author 

License 
CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
DOI  
Publisher 
Institut des Hautes Études Scientifiques (IHÉS)

Release Date 
2016

Language 
English

Content Metadata
Subject Area  
Abstract 
The local padic Simpson correspondence by Faltings asserts that there is a natural equivalence of categories between small generalized representations and small Higgs modules for an affine semistable scheme over a complete discrete valuation ring of mixed characteristic with algebraically closed residue field. However, in the case of rational coefficients, the construction of the functor from the former to the latter, reducing to the theory for integral coefficients, does not seem to work as it is written, as pointed out by Ahmed Abbes. In this talk, I give an alternative argument based on a generalized Sen's theory for the semistable scheme and complete the local theory for rational coefficients.

00:00
Area
Standard deviation
Theory of relativity
Observational study
Variety (linguistics)
Civil engineering
Multiplication sign
1 (number)
Water vapor
Parameter (computer programming)
Rule of inference
Theory
Local Group
Group representation
Plane (geometry)
Lecture/Conference
Dependent and independent variables
Right angle
Object (grammar)
Fiber bundle
Game theory
Resultant
05:43
Area
Point (geometry)
Process (computing)
Observational study
Multiplication sign
Closed set
Basis (linear algebra)
Density of states
Maxima and minima
Field extension
MKS system of units
Matrix (mathematics)
Causality
Lecture/Conference
Dew point
Fiber bundle
Game theory
11:26
Series (mathematics)
Group action
Presentation of a group
Generating set of a group
Insertion loss
Theory
Number
Wave packet
19 (number)
Group representation
Arithmetic mean
Lattice (order)
Lecture/Conference
Physical law
Right angle
Game theory
Resultant
Physical system
Condition number
18:50
Point (geometry)
Existence
Musical ensemble
State of matter
Multiplication sign
Kontraktion <Mathematik>
Water vapor
Parameter (computer programming)
Grothendieck topology
Theory
Lecture/Conference
Moving average
Physical law
Area
Link (knot theory)
Product (category theory)
Process (computing)
Military base
Closed set
Gradient
Basis (linear algebra)
Mathematical model
Density of states
Inflection point
Maxima and minima
Arithmetic mean
Oval
Pauli exclusion principle
Convex hull
Units of measurement
29:12
Equals sign
Decision theory
Multiplication sign
1 (number)
Solid geometry
Mereology
Food energy
Variance
Inference
Group representation
Moving average
Physical law
Area
Process (computing)
Interior (topology)
Permutation
Maxima and minima
Flow separation
Radical (chemistry)
Arithmetic mean
Diskreter Bewertungsring
Right angle
Resultant
Point (geometry)
Computer programming
Presentation of a group
Limit (category theory)
Rule of inference
Event horizon
Theory
Power (physics)
Number
Lecture/Conference
Analytic continuation
Units of measurement
Condition number
Newton's law of universal gravitation
Rule of inference
Addition
Series (mathematics)
Forcing (mathematics)
Algebraic structure
Division (mathematics)
Mathematical model
Incidence algebra
Voting
Lie group
Network topology
Cuboid
Family
Local ring
Matching (graph theory)
46:09
Musical ensemble
Observational study
Confidence interval
Multiplication sign
Correspondence (mathematics)
Direction (geometry)
Water vapor
Parameter (computer programming)
Mereology
Event horizon
Theory
Frequency
Lecture/Conference
Moving average
Physical law
Units of measurement
Area
Theory of relativity
Military base
Projective plane
Interior (topology)
Line (geometry)
Sequence
Local Group
Hand fan
Maxima and minima
Summation
Spring (hydrology)
Combinatory logic
Pauli exclusion principle
Universe (mathematics)
Dependent and independent variables
Game theory
Ranking
Units of measurement
1:03:05
Computer animation
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