Department of

Mathematics


Seminar Calendar
for events the day of Thursday, August 27, 2020.

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Thursday, August 27, 2020

3:00 pm in Zoom,Thursday, August 27, 2020

When are multidegrees positive?

Federico Castillo   [email] (MPI Leipzig)

Abstract: The notion of multidegree for multiprojective varieties extends that of degree for projective varieties. They can be defined in geometric terms, using intersection theory, or alternatively in algebraic terms, via multigraded hilbert polynomial. We study the problem of their positivity and establish a wonderful combinatorial description that relates to polyhedral geometry. We will show applications for Schubert polynomials and mixed volumes. This is joint work with Y. Cid-Ruiz, B. Li, J. Montano, and N. Zhang. Please email Colleen at cer2 (at) illinois (dot) edu for the Zoom ID and password.