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Special Colloquium/Candidate Presentation: Combinatorial atlas for log-concave inequalities

Event Type
Seminar/Symposium
Sponsor
n/a
Location
245 Altgeld Hall and Zoom
Date
Jan 24, 2022   4:00 pm  
Speaker
Swee Hong Chan (UCLA)
Contact
Alexander Yong
E-Mail
ayong@illinois.edu
Views
176

Live and via Zoom:

https://illinois.zoom.us/j/81000568156?pwd=ZFR3MzFOVERVZWVxL3pUdzB5ZVkxdz09

 Meeting ID: 810 0056 8156

Password: 498945

Abstract: The study of log-concave inequalities for combinatorial objects have seen much progress in recent years. One such progress is the solution to the strongest form of Mason's conjecture (independently by Anari et. al. and Brándën-Huh). In the case of graphs, this says that the sequence $f_k$ of the number of forests of the graph with $k$ edges, form an ultra log-concave sequence. In this talk, we discuss an improved version of all these results, proved by using a new tool called the combinatorial atlas method. This is a joint work with Igor Pak. This talk is aimed at a general audience.

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