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Texas A&M University

Topology Seminar

Date: November 6, 2019

Time: 3:00PM - 3:50PM

Location: BLOC 605AX

Speaker: Hiro Tanaka, Texas State University


Title: Broken techniques for disappearing things

Abstract: This is joint work with Jacob Lurie. I will discuss stacks classifying families of broken lines. These stacks give new ways to organize algebraic structures, and have enticing applications to symplectic geometry. For example, families of broken lines classify non-unital \(A(\infty)\) structures while giving a clear pathway to enrich Lagrangian Floer theory over spectra (which are more powerful invariants than chain complexes).