August 7, 2017 - August 11, 2017
Public Access Category: All |
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
|
- Time:
- 4:00pm
- Location:
- Ramanujan Hall
- Description:
- Speaker: Dr. Swarnava Mukhopadhyay
Title: Conformal blocks, strange duality and the moduli space of curves.
Abstract: Conformal blocks are refined invariants of tensor product of
representations of a Lie algebra that give a special class of vector
bundles on the moduli space of curves. In this talk, I will introduce
conformal blocks and explore connections to questions in algebraic
geometry and representation theory. I will also focus on some ``strange"
dualities in representation theory and how they give equalities of divisor
classes on the moduli space of curves.
- Time:
- 3:30pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Title. Compact Complex Surfaces
Abstract: We will start with some general results about compact complex
manifolds of dimension 2 (including non-algebraic ones) like intersection
theory, Hodge Index Theorem, Riemann-Roch Theorem...The goal is to outline
the classification of minimal smooth projective surfaces, and describe the
main properties of surfaces in each class. Due to time constraints almost
no proofs will be given