January 17, 2022 - January 21, 2022
Public Access Category: All |
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- Time:
- 5:30pm
- Description:
- Speaker: Fatemeh Mohammadi, Ghent University, Belgium.
Date/Time: 21 January 2022, 5:30pm IST/ 12:00pm GMT / 7:00am ET (joining
time 5:15pm IST).
Gmeet link: meet.google.com/iui-gxhk-eeo
Title: Toric degenerations of Grassmannians.
Abstract: Toric varieties are popular objects in algebraic geometry, as
they can be modelled on polytopes and polyhedral fans. This is mainly
because there is a dictionary between their geometric properties and the
combinatorial invariants of their polytopes. This dictionary can be
extended from toric varieties to arbitrary varieties through toric
degenerations.
In this talk, I will introduce the notion of toric degenerations which
generalizes the fruitful correspondence between toric varieties and
polytopes, to arbitrary varieties. There are prototypic examples of toric
degenerations (of Grassmannians) which are related to Young tableaux and
Gelfand-Cetlin polytopes. I will describe how to obtain such degenerations
using the theory of Gröbner fans and tropical geometry, and how their
associated polytopes are connected by mutations.
For more information and links to previous seminars, visit the website of
VCAS:
https://sites.google.com/view/virtual-comm-algebra-seminar