The relationship between the topology of manifolds and homotopy theory has been recently strengthened in several ways, harking back to the close connection which existed between these subjects in their early development.
One direction has been the circle of ideas arising from Madsen--Weiss' proof of Mumford's conjecture, with cobordism theory attracting new interest in the modern guise of cobordism categories, and applications to the study of automorphism groups of manifolds by a method quite different to the classical route, via surgery theory, pseudoisotopy theory, and Waldhausen's algebraic K-theory of spaces. Another direction, related to the previous one, is Lurie's development of a close connection between extended Topological Quantum Field Theories and ideas from the homotopy theory of higher categories, where the theory of manifolds may be encoded as a universal object in higher category theory. A third direction, again related to the previous one, is the notion of factorisation homology. This is a pairing between n-manifolds and n-categories: regarded as an invariant of manifolds, it is a promising source of sensitive manifold and linking invariants; regarded as an invariant of higher categories, it codifies their infinitesimal structure.
This workshop will bring together mathematicians working at the forefront of these and related areas, to develop new foundational results, pursue applications, and relate these new ideas with more classical work in the topology of manifolds.
Monday 3rd December 2018 | |||
---|---|---|---|
09:00 to 09:50 | No Room Required | ||
09:50 to 10:00 | Room 1 | ||
10:00 to 11:00 |
Soren Galatius University of Copenhagen |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:30 |
Alexander Kupers Harvard University |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
14:30 to 15:30 |
George Raptis Universität Regensburg |
Room 1 | |
15:30 to 16:00 | No Room Required | ||
16:00 to 17:00 |
Christopher Schommer-Pries University of Notre Dame |
Room 1 | |
17:00 to 18:00 | No Room Required |
Tuesday 4th December 2018 | |||
---|---|---|---|
09:00 to 10:00 |
Wolfgang Lueck |
Room 1 | |
10:00 to 11:00 |
Thomas Willwacher ETH Zürich |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:30 |
Alexander Kupers Harvard University |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
14:30 to 15:30 |
Victor Turchin Kansas State University |
Room 1 | |
15:30 to 16:00 | No Room Required | ||
16:00 to 17:00 |
Nathalie Wahl University of Copenhagen |
Room 1 | |
Wednesday 5th December 2018 | |||
---|---|---|---|
09:00 to 10:00 |
Cary Malkiewich Binghamton University |
Room 1 | |
10:00 to 11:00 |
Christine Vespa University of Strasbourg |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:30 |
Fabian Hebestreit University of Bonn |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
13:30 to 18:00 | No Room Required |
Thursday 6th December 2018 | |||
---|---|---|---|
09:00 to 10:00 |
Alexander Berglund Stockholm University |
Room 1 | |
10:00 to 11:00 |
Johannes Ebert Westfalische Wilhelms-Universitat Munster |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:30 |
Ben Knudsen Harvard University |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
14:30 to 15:00 |
Manuel Krannich University of Cambridge |
Room 1 | |
15:00 to 15:30 |
Rachael Boyd Norwegian University of Science and Technology |
Room 1 | |
15:30 to 16:00 | No Room Required | ||
16:00 to 16:30 |
Csaba Nagy University of Melbourne |
Room 1 | |
16:30 to 17:00 |
Danica Kosanović Max-Planck-Institut für Mathematik, Bonn |
Room 1 | |
18:15 to 19:15 | No Room Required | ||
19:30 to 20:30 | No Room Required |
Friday 7th December 2018 | |||
---|---|---|---|
10:00 to 11:00 |
Andre Henriques University of Oxford |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:30 |
Sam Nariman Northwestern University |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
13:30 to 14:30 |
Ryan Budney |
Room 1 | |
14:30 to 15:30 |
Diarmuid Crowley University of Melbourne |
Room 1 | |
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