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1/5 Enumerative Geometry of Curves, Maps, and Sheaves

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No logo availableInstitut des Hautes Études Scientifiques (IHÉS)
 Pandharipande, Rahul

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1/5 Enumerative Geometry of Curves, Maps, and Sheaves
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39
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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.
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The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by the end, to explain recent progress on the Virasoro constraints on the sheaf side.