Combinatorics on flag varieties and related topics 2021
algebraic geometry combinatorics representation theory symplectic geometry
|Audience:||Researchers in the discipline|
|Conference dates:||Mon Jan 25 to Wed Jan 27|
|Organizers:||Soojin Cho, Yunhyung Cho, Jaehyun Hong, JiSun Huh, Eunjeong Lee*, Seonjeong Park|
|*contact for this listing|
Flag variety is an algebraic variety lying on the intersection of many areas of mathematics. It has rich structures and contains important classes of subvarieties such as Schubert varieties, Springer varieties, and Hessenberg varieties, each of which has its own interest in view of representation theory and combinatorics. The goal of this workshop is to understand representation theory and combinatorics related to geometry and topology of subvarieties of flag varieties. $\newline$ This year we will focus on Newton-Okounkov bodies of flag varieties, Grassmannians, and Hessenberg varieties, and related combinatorics such as crystal basis and combinatorial mutations on polytopes.