## Trying to Tame Two Times

Steve Shenker

December 5, 2017

Steve Shenker

December 5, 2017

Xiaoliang Qi

December 5, 2017

Madhu Sudan

Harvard University

December 4, 2017

Greta Panova

University of Pennsylvania; von Neumann Fellow, School of Mathematics

December 4, 2017

We will give a brief overview of the classical topics, problems and results in Algebraic Combinatorics. Emerging from the representation theory of $S_n$ and $GL_n$, they took a life on their own via the theory of symmetric functions and Young Tableaux and found applications into new fields. In particular, these objects can describe integrable lattice models in statistical mechanics like dimer covers on the hexagonal grid, aka lozenge tilings.

Amitai Zernik

Member, School of Mathematics

December 4, 2017

In joint work with Buryak, Pandharipande and Tessler (in preparation), we define equivariant stationary descendent integrals on the moduli of stable maps from surfaces with boundary to $(\mathbb{CP}^1,\mathbb{RP}^1)$. For stable maps of the disk, the definition is geometric and we prove a fixed-point formula involving contributions from all the corner strata. We use this fixed-point formula to give a closed formula for the integrals in this case.

Panamarev, Taras

December 1, 2017

Portegies Zwart, Simon

December 1, 2017

Will, Clifford

December 1, 2017

Rossi, Elena Maria

December 1, 2017

Levin, Yuri

December 1, 2017