November 17 - December 1, 2020
Mini-Course
Mini-course by Will Perkins "Five lectures on statistical mechanics methods in combinatorics"
Abstract:
I will introduce some basic objects, terminology, and questions from statistical mechanics and then translate these to combinatorics to arrive at some new problems and new perspectives on old problems. Applications discussed will include extremal and enumerative problems about independent sets in graphs and problems about sphere packings in Euclidean space.
The schedule of lectures:
November 17, Tue
19.00 - 20.00 (MSK)
19.00 - 20.00 (MSK)
Lecture 1
Fundamentals of statistical physics
Fundamentals of statistical physics
November 20, Fri
18.00 - 19.00 (MSK)
18.00 - 19.00 (MSK)
Lecture 2
Extremal combinatorics of sparse graphs
Extremal combinatorics of sparse graphs
November 24, Tue
19.00 - 20.00 (MSK)
19.00 - 20.00 (MSK)
Lecture 3
Expansion methods and enumeration
Expansion methods and enumeration
November 27, Fri
18.00 - 19.00 (MSK)
18.00 - 19.00 (MSK)
Lecture 4
Combinatorics at low temperatures
Combinatorics at low temperatures
December 1, Tue
19.00 - 20.00 (MSK)
19.00 - 20.00 (MSK)
Lecture 5
Sphere packings and kissing numbers
Sphere packings and kissing numbers
Video recording of the course:
The language of the mini-course is English. The event is aimed at master and graduate students, as well as researchers in the field of combinatorics.