Cluster Algebras

Join Zoom Meeting
https://pitt.zoom.us/j/9336109307

Meeting ID: 933 610 9307
Passcode: Pittmath
One tap mobile
+12678310333,,9336109307# US (Philadelphia)
8778535247,,9336109307# US Toll-free

Dial by your location
        +1 267 831 0333 US (Philadelphia)
        877 853 5247 US Toll-free
Meeting ID: 933 610 9307
Find your local number: https://pitt.zoom.us/u/adGKyNvODU
 

Friday, September 25, 2020 - 15:30

Zoom

Speaker Information
Lara Bossinger
UNAM

Abstract or Additional Information

Cluster algebras are commutative algebras defined by a recursive procedure called "mutation". They were introduced about 20 years ago by Fomin and Zelevisnky with the original aim to get a better understanding of Lusztig's dual canonical basis for quantum groups. However, the applications of cluster algebras rapidly grew to reach fields of mathematics that are surprisingly far from their origins. Today the theory of cluster algebras forms an active area of research and has lead to results in representation theory, homological algebra, total positivity, mirror symmetry, theoretical physics, combinatorics and polyhedral geometry, knot theory, Donadlson--Thomas theory, Teichmueller spaces and more. In this talk I aim to introduce cluster algebras and go through a few examples of their applications.