Toric degenerations of Grassmannians
Fatemeh Mohammadi (Ghent University and University of Tromsø)
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.
Mathematics
Audience: advanced learners
( paper )
IIT Bombay Virtual Commutative Algebra Seminar
Series comments: Note: To get meeting ID,fill the Google form on the web-site of the series sites.google.com/view/virtual-comm-algebra-seminar/home
| Organizers: | Jugal Kishore Verma*, Kriti Goel*, Parangama Sarkar, Shreedevi Masuti |
| Curator: | Saipriya Dubey* |
| *contact for this listing |