[Topology.beta] FW: DDT&G seminar on Friday in Amsterdam: Marc Kegel on Exotic Knot Traces

[Rot, T.O. (Thomas)]

Dear colleagues,



You are cordially invited to attend the next Dutch Differential Topology and Geometry seminar, which will take place later this week in Amsterdam.



Speaker: Marc Kegel<https://www.mathematik.hu-berlin.de/~kegemarc/>

Title: "The search for exotic knot traces" (see below for the abstract)

Date: Friday 3 November, 14:00-16:30

Location: VU Amsterdam, NU 9-A46



The schedule will be as follows:



2:00-3:00 p.m.: first part of the seminar (little to no prior knowledge assumed)

3:30-4:30 p.m.: second part of the seminar (slightly more advanced level)



Please notice that the first part of the seminar (2:00-3:00 p.m.) is intended for general mathematical audience, and master students with an interest in geometry and topology are especially encouraged to participate.



Please visit the seminar's webpage for additional information and an overview of past and upcoming talks:

https://www.few.vu.nl/~trt800/ddtg.html



We hope to see many of you on Friday!



Alvaro, Federica and Thomas


Abstract
Every knot leaves a trace in the 4-dimensional world. The trace of a knot is the smooth 4-manifold obtained by attaching a 2-handle to the 4-ball along a knot in the 3-sphere. In the first part of the talk, will carefully introduce these notions and discuss a strategy to disprove the smooth 4-dimensional Poincare conjecture by finding knot traces with certain exotic properties. The second part of the talk is devoted to certain methods and results that might be useful to find such exotic knot traces.
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