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Eunjeong Lee, Geometry of Flag Varieties and Related Combinatorics

November 10, 2020 @ 11:00 am - 12:00 pm KST

B266, IBS Korea, Republic of

     Speaker

Enjeong Lee
IBS-CGP
For a semisimple algebraic group G and a Borel subgroup B, the homogeneous space G/B, called the flag variety, is a smooth projective variety which has a fruitful connection with G-representations. Indeed, the set of global sections H0(G/B, L) is an irreducible G-representation for a very ample line bundle L on G/B. On the other hand, string polytopes are combinatorial objects which encode the characters of irreducible G-representations. One of the most famous examples of string polytopes is the Gelfand–Cetlin polytope, and there might exist combinatorially different string polytopes. The string polytopes are related to the flag varieties via the theory of Newton–Okounkov bodies. In this talk, we will study Gelfand–Cetlin type string polytopes, their enumerations, and we will present small toric resolutions of certain string polytopes.  This talk is based on several collaborations with Yunhyung Cho, Jang Soo Kim, Yoosik Kim, and Kyeong-Dong Park.

Details

Date:
November 10, 2020
Time:
11:00 am - 12:00 pm KST
Event Category:
Event Tags:

Venue

B266
IBS Korea, Republic of

Organizer

Jaehyun Hong
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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