BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Fatemeh Mohammadi (Ghent University and University of Tromsø) DTSTART:20220121T120000Z DTEND:20220121T130000Z DTSTAMP:20260423T052448Z UID:VCAS/118 DESCRIPTION:Title: T oric degenerations of Grassmannians\nby Fatemeh Mohammadi (Ghent Unive rsity and University of Tromsø) as part of IIT Bombay Virtual Commutative Algebra Seminar\n\n\nAbstract\nToric varieties are popular objects in alg ebraic geometry\, as they can be modelled on polytopes and polyhedral fans . This is mainly because there is a dictionary between their geometric pro perties and the combinatorial invariants of their polytopes. This dictiona ry can be extended from toric varieties to arbitrary varieties through tor ic degenerations. \n\nIn 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 exa mples 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\, a nd how their associated polytopes are connected by mutations.\n LOCATION:https://researchseminars.org/talk/VCAS/118/ END:VEVENT END:VCALENDAR