Department of

# Mathematics

Seminar Calendar
for events the day of Monday, May 6, 2019.

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Questions regarding events or the calendar should be directed to Tori Corkery.
      April 2019              May 2019              June 2019
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1  2  3  4  5  6             1  2  3  4                      1
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30


Monday, May 6, 2019

3:00 pm in 243 Altgeld Hall,Monday, May 6, 2019

#### A two-category of Hamiltonian manifolds, and a (1+1+1) field theory

###### Guillem Cazassus (Indiana University)

Abstract: We define an extended field theory in dimensions 1+1+1, that takes the form of a 'quasi 2-functor' with values in a strict 2-category Hamˆ, defined as the 'completion of a partial 2-category' Ham, notions which we define. Our construction extends Wehrheim and Woodward's Floer Field theory, and is inspired by Manolescu and Woodward's construction of symplectic instanton homology. It can be seen, in dimensions 1+1, as a real analog of a construction by Moore and Tachikawa. Our construction is motivated by instanton gauge theory in dimensions 3 and 4: we expect to promote Hamˆ to a (sort of) 3-category via equivariant Lagrangian Floer homology, and extend our quasi 2-functor to dimension 4, via equivariant analogues of Donaldson polynomials.