Polynomials reading group
Time: Tuesdays, 13:30 IST, 1-1.5 hours.
Place: Online, via zoom.
Lecture notes/transcripts
Please also see the course webpage of a class I taught previously on this topic.
2022-08-16. Marcus-Spielman-Srivastava proof of existence of infinite bipartite Ramanujan graph families of all degrees. Interlacing [Transcript]
2022-07-26. Real stability of (a) matching polynomial through the multi-affine part operator. Rough sketch of the Heilmann-Lieb bound on its roots. [Transcript]
2022-07-19. Proof of part of the van der Waerden conjecture, following Gurvits. [Transcript]
2022-07-12. Real rootedness and real stability. Connections to combinatorics and probability. The spanning tree polynomial. [Transcript]