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Topology of moduli spaces via representation theory

Francesco Sala
Institution: 
IPMU Tokyo
Location: 
A-133
Schedule: 
Tuesday, June 27, 2017 - 16:00
Abstract: 

Geometric representation theory plays a preeminent role in the interactions between algebraic geometry, representation theory and mathematical physics. In the present talk, I will discuss one of the instances of such interactions, precisely how to describe the cohomology of moduli spaces of (semistable, framed, etc) sheaves on surfaces by using representation theory. In the second part of the talk, I will present an ongoing work with Olivier Schiffmann, where the "direction of the interaction" is reversed: we use moduli of sheaves on surfaces to define new algebras.

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