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Cluster quasi-homomorphisms associated to two-strand braid varieties
Student-Run Research Seminar| Speaker: | Tonie Scroggin, UC Davis |
| Related Webpage: | https://sites.google.com/ucdavis.edu/tonie-scroggin |
| Location: | 3106 MSB |
| Start time: | Wed, Mar 13 2024, 1:10PM |
Braid varieties are affine algebraic varieties with numerous geometric and combinatorial structures which permit explicit study. These varieties have natural connections to Lie theory, Legendrian geometry and link invariants. Using the positroid realization of two-stranded braid varieties, we construct cluster quasi-homomorphisms which we call "cut maps". We then study the "associativity" properties of these cut maps, in particular, we show that we require a twist to some of the structures to establish associativity.
There will be free pizzas!