Fri, January 21, 2022
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5:00pm [5:30pm] Fatemeh Mohammadi, Ghent University, Belgium.
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

6:00pm