Atiyah's Real K-Theory is a C2-spectrum with fixed points KO and underlying spectrum KU. We present a modern-style construction of it and give streamlined proofs of its basic properties.
Abstract: The Mumford conjecture is an important result that computes the cohomology of the moduli space of curves in the stable range and was originally proved by Madsen and Weiss about 20 years ago. Recently, a new alternative proof of the Mumford conjecture was given by Bianchi. In this talk, I will discuss a version of Bianchi's proof which was further streamlined by Das and Petersen.
Thursday, May 2, 2024
16:00-17:00
HFG 611
Applied Math Seminar
János Flesch (Maastricht) for May 2, Equilibrium in stochastic games with Borel measurable evaluations
Rahul Pandharipande - Higher genus GW theory of the Hilbert scheme of points of the plane
see description
Abstract: The quantum cohomology of the Hilb(C2,n) is determined by the operator of quantum multiplication by the divisor class (and was computed 20 years ago in work with Okounkov). I will explain how to think about the higher genus theory from several perspectives: CohFT, MNOP, and, in the case of genus 1, the intersection theory of the moduli space A_g of PPAVs. The talk is connected to recent joint and disjoint work of several mathematicians: S. Canning, F. Greer, A. Iribar Lopez, C. Lian, S. Molcho, D. Oprea, A. Pixton,and H.-H. Tseng.