### Lorentzian polynomials on cones

- Series
- Algebra Seminar
- Time
- Monday, April 24, 2023 - 10:20 for 1.5 hours (actually 80 minutes)
- Location
- Skiles 005
- Speaker
- Jonathan Leake – University of Waterloo – jonathan.leake@uwaterloo.ca

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.