[Binghamton Geometry Topology Seminar] GT Seminar: Gary Guth speaks on Thursday

[Cary Malkiewich]

Hi everyone,

This week we are pleased to have Gary Guth (University of Oregon) speaking
about stabilizations of exotic surfaces. As usual, the talk will be on
Thursday at 2:50 pm.

The speaker will be delivering the talk remotely, and we'll project it in
WH 100E. In case you can't make it and would like to join remotely, you can
join at the link:

https://binghamton.zoom.us/j/2060048595

If you are available on campus, please join us for a seminar lunch.  We
will meet at noon outside WH100E. See you there!

Best,
Cary and Roman

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*Title: Satellites, Stabilizations, and Exotic Surfaces*
*Abstract:* A long standing question in the study of exotic behavior in
dimension four is whether exotic behavior is “stable”. For example, in
thinking about the four-dimensional h-coboridism theorem, Wall proved that
simply connected, exotic four-manifolds always become smoothly equivalent
after applying a suitable stabilization operation enough times. Similarly,
Hosokawa-Kawauchi and Baykur-Sunukjian showed that exotic surfaces become
smoothly equivalent after stabilizing the surfaces some number of times.
The question remains, “how many stabilizations are necessary, and is one
always enough?” By considering certain satellite operations, we provide an
answer to this question in the case of exotic surfaces with boundary.
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