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SUMMARY:Eunjeong Lee (IBS)
DTSTART:20210203T000000Z
DTEND:20210203T010000Z
DTSTAMP:20260423T024744Z
UID:AG-Davis/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/18/
 ">Flag varieties and their associated polytopes</a>\nby Eunjeong Lee (IBS)
  as part of UC Davis algebraic geometry seminar\n\n\nAbstract\nLet $G$ be 
 a semisimple algebraic group and $B$ a Borel subgroup. The homogeneous spa
 ce $G/B$\, called the flag variety\, is a smooth projective variety that h
 as a fruitful connection with $G$-representations. Indeed\, the set of glo
 bal sections $H_0(G/B\,L)$ is an irreducible -representation for a very am
 ple line bundle $L\\to G/B$. On the other hand\, string polytopes are comb
 inatorial objects which encode the characters of irreducible $G$-represent
 ations. 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 with the flag varieties via t
 he 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
  joint works with Yunhyung Cho\, Jang Soo Kim\, Yoosik Kim\, and Kyeong-Do
 ng Park.\n
LOCATION:https://researchseminars.org/talk/AG-Davis/18/
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