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Title:
Differential Algebra of Cubic Graphs
Speaker:
Abstract:
In this talk we will associate a combinatorial dg-algebra to a cubic planar graph. This algebra is defined by counting binary sequences, which we introduce, and we shall provide explicit computations. From there we study the Legendrian surfaces behind these combinatorial constructions, including Legendrian surgeries, the count of Morse flow trees involved in contact homology, and discuss the relation to microlocal sheaves. Time permitting, I will explain a connection to spectral networks.
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