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Special Colloquium/Candidate Presentation: A proof of the Erdős–Faber–Lovász conjecture and related problems

Event Type
Seminar/Symposium
Sponsor
n/a
Virtual
wifi event
Date
Jan 25, 2022   11:00 am  
Speaker
Abhishek Methuku
Contact
Alexandr Kostochka
E-Mail
kostochk@illinois.edu
Views
183

Abstract: The famous Erdős—Faber—Lovász conjecture states that the chromatic index of any linear hypergraph on n vertices is at most n. This long-standing conjecture was posed 50 years ago and Erdős considered it to be one of his favorite open problems. In this talk, I will briefly sketch a proof of this conjecture for every large n. If time permits, I will also talk about our solution to another problem of Erdős from 1977 about the chromatic index of hypergraphs with bounded codegree.  Joint work with D. Kang, T. Kelly, D. Kühn and D. Osthus.

Zoom link: 

https://illinois.zoom.us/j/7938647305?pwd=STFhMEZyS1JtWG5udWpSRDZsQmJKUT09 

Meeting ID: 793 864 7305 

Passcode: 588788

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