Seminar
| Parent Program: | -- |
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| Location: | UC Berkeley |
The UC Berkeley Combinatorics Seminar
Mondays 2:10pm - 3:00pm
939 Evans Hall
Organizers: Florian Block, Max Glick, and Lauren Williams
Brane Tilings and Cluster Algebras: the dP3 lattice
Speaker: Gregg Musiker
Abstract: We discuss the link between cluster algebras and brane tilings and how this can be used to obtain combinatorial formulas for cluster variables arising from certain periodic quivers. No prior knowledge of brane tilings will be assumed. I will focus mostly on the case of the del Pezzo 3 (dP3) lattice and, in particular, work with Sicong Zhang at the 2012 REU at University of Minnesota. Connections to other examples such as Gale-Robinson sequences and Aztec Diamonds, including work with In-Jee Jeong from the 2011 REU, will also be discussed, time permitting.
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