- Series
- Algebra Seminar
- Time
- Monday, January 13, 2025 - 1:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Jidong Wang – University of Texas at Austin – https://sites.utexas.edu/jidongw/
- Organizer
- Changxin Ding
Please Note: There will be a pre-seminar at 10:55 am in Skiles 006 (not 005).
The theory of stable polynomials features a key notion called proper position, which generalizes interlacing of real-rooted polynomials to higher dimensions. In a recent paper, I introduced a Lorentzian analog of proper position and used it to give a new characterization of elementary quotients of valuated matroids. This connects the local structure of spaces of Lorentzian polynomials with the incidence geometry of tropical linear spaces. A central object in this connection is the moduli space of codimension-1 tropical linear subspaces of a given tropical linear space. In this talk, I will show some new structural results on this moduli space and their implications for Lorentzian polynomials.