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Speaker:

Thomas Wannerer
Affiliation:

Friedrich-Schiller-Universität Jena
Date:

Thu, 18/04/2024 - 16:30 - 18:00
Location:

MPIM Lecture Hall
Parent event:

Oberseminar Differentialgeometrie The Alexandrov-Fenchel inequality, a fundamental result in convex

geometry, has recently been shown to be one component within a broader

'Kahler package'. This structure was observed to emerge in different

areas of mathematics, including geometry, algebra, and combinatorics,

and encompasses Poincare duality, the hard Lefschetz theorem, and the

Hodge-Riemann relations. After unpacking these statements within the

context of this talk, I will explain where complex geometry intersects

with convex geometry in the proofs.

Based on joint work with Andreas Bernig and Jan Kotrbaty.

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