Lorentzian polynomials on cones

Series
Algebra Seminar
Time
Monday, April 24, 2023 - 10:20am for 1.5 hours (actually 80 minutes)
Location
Skiles 005
Speaker
Jonathan Leake – University of Waterloo – jonathan.leake@uwaterloo.cahttps://www.jleake.com/
Organizer
Abeer Al Ahmadieh

We show how the theory of Lorentzian polynomials extends to cones other than the positive orthant, and how this may be used to prove Hodge-Riemann relations of degree one for Chow rings. If time permits, we will show explicitly how the theory applies to volume polynomials of matroids and/or polytopes. Joint work with Petter Brändén.