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SUMMARY:Cynthia Vinzant (University of Washington)
DTSTART:20240703T160000Z
DTEND:20240703T170000Z
DTSTAMP:20260423T021419Z
UID:CG-BLT/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CG-BLT/5/">T
 ropicalization of Principal Minors</a>\nby Cynthia Vinzant (University of 
 Washington) as part of Combinatorics and Geometry BLT Seminar\n\n\nAbstrac
 t\nTropicalization is a way to understand the asymptotic behavior of algeb
 raic (or semi-algebraic) sets through polyhedral geometry. In this talk\, 
 I will describe the tropicalization of the principal minors of real symmet
 ric and Hermitian matrices. This gives a combinatorial way of understandin
 g their asymptotic behavior and discovering new inequalities on these mino
 rs. For positive semidefinite matrices\, the resulting tropicalization wil
 l have a nice combinatorial structure called M-concavity and be closely re
 lated to the tropical Grassmannian and tropical flag variety. For general 
 Hermitian matrices\, this story extends to valuated delta matroids.\n\nThi
 s is based on joint works with Abeer Al Ahmadieh\, Nathan Cheung\, Tracy C
 hin\, Gaku Liu\, Felipe Rincón\, and Josephine Yu.\n
LOCATION:https://researchseminars.org/talk/CG-BLT/5/
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