Westlake Online Math Forum第十四期 | Botong Wang: Intersection cohomology in combinatorics

2023-10-20 08:36:09


ZOOM ID:961 0578 3232

PASSCODE: 047255

主持人:理论科学研究院 魏传豪

主讲人: 威斯康星大学麦迪逊分校 王博潼

主讲人介绍: Botong Wang is an associate professor from University of Wisconsin-Madison. He obtained his bachelor degree from Peking University in 2006 and PhD from Purdue University in 2012. Botong then hold positions at University of Notre Dame and KU Leuven before moving to Madison. He studies the topology of algebraic varieties with applications in combinatorics and algebraic statistics. He was awarded Sloan fellowship in 2019. His best known work is the resolution of the Dowling-Wilson conjecture in collaboration with June Huh.

讲座主题:Intersection cohomology in combinatorics


Many important posets (partially ordered sets) in combinatorics have algebriac interpretations. We will go over three families of examples: toric varieties, Schubert varieties and matroid Schubert varieties. We will discuss how to translate some of the combinatorical invariants into the geometric ones, and the application of intersection cohomology groups in solving combinatorical problems. In the second part, we will give a more detailed introduction to the definition of intersection cohomology in the non-realizable cases, that is, when there is no associated algebraic varieties.