The Indiana Joint Topology Seminar
September 28, 2024
Indiana University Indianapolis
Indianapolis, IN, USA
The 11th meeting of the Indiana Joint Topology Seminar will
be held at Indiana University Indianapolis on Saturday September 28, 2024. Coffee and light refreshments will be available starting at 9:45am in LD 002. Talks will
begin at 10am (also in LD 002) and end at 12:30pm, followed by lunch.
Registration
If you plan to attend, please email Dan Ramras (dramras at
iu edu) or your local campus organizer. Most parking spots on campus require a permit,
even on weekends. Note that IU Bloomington parking permits are valid
in Indianapolis (details),
and other visitors may park in the Gateway
garage.
Confirmed Speakers
| David Boozer, Indiana University, Bloomington:
The combinatorial and gauge-theoretic foam evaluation functors are not the same
|
|
Kate Ponto,
University of Kentucky: Bicategorical character theory
|
Schedule:
10am: David Boozer
11:30am: Kate Ponto
Abstracts:
David Boozer, Indiana University, Bloomington: The combinatorial and gauge-theoretic foam evaluation functors are not the same
Abstract:
Kronheimer and Mrowka have outlined a new approach that could potentially lead to the first non-computer based proof of the four-color theorem. Their approach relies on a functor J-sharp, which they define using gauge theory, from a category of webs in R^3 to the category of finite-dimensional vector spaces over the field of two elements. They have also suggested a possible combinatorial replacement J-flat for J-sharp, which Khovanov and Robert proved is well-defined on a subcategory of planar webs. We exhibit a counterexample that shows the restriction of the functor J-sharp to the subcategory of planar webs is not the same as J-flat.
Kate Ponto,
University of Kentucky: Bicategorical character theory
Abstract: Ganter and Kapranov defined a character theory for 2-representations motivated by work of Hopkins, Kuhn and Ravenel. I'll describe recent work that puts Ganter and Kapranov's results in a broader context that connects it to work of mine motivated by fixed point theory and Ben Zvi and Nadler motivated by Riemann-Roch theorems. This is joint work with Travis Wheeler.
Directions
Talks will be held in room LD 002 in the basement of the Science
Building, on the IUPUI campus in downtown Indianapolis (402 N.
Blackford St.).
Ayelet Lindenstrauss (alindens at indiana dot edu)
Mike Mandell (mmandell at indiana dot edu)
Jeremy Miller (jeremykmiller at purdue dot edu)
Dan Ramras (dramras at iu dot edu)
Please contact us with questions.
Past meetings:
Email: dramras at iu dot edu