Workshop: Spectral methods in equivariant mathematics
Dates: October 24 - 28, 2022
Venue: HIM lecture hall, Poppelsdorfer Allee 45, Bonn
Organizers: John Greenlees (Warwick), Jesper Grodal (Copenhagen), Radha Kessar (London), Henning Krause (Bielefeld)
Speakers:
- Robert Burklund (Copenhagen)
- Natalia Castellana (Barcelona)
- Ivo Dell’Ambrogio (Lille
- Martin Gallauer (Bonn)
- Paul Goerss (Evanston)
- Sira Gratz (Aarhus)
- Markus Hausmann (Stockholm)
- Kaif Hilman (Copenhagen)
- Magdalena Kedziorek (Nijmegen)
- Bernhard Keller (Paris)
- Achim Krause (Münster)
- Nick Kuhn (Charlottesville)
- Markus Linckelmann (London)
- Nadia Mazza (Lancaster)
- Amnon Neeman (Canberra)
- Luca Pol (Regensburg)
- Catharina Stroppel (Bonn)
- Peter Symonds (Manchester)
Description:
The workshop focuses on aspects of spectral geometry in which group actions play a significant role, and we have taken an inclusive attitude both to the objects considered and the groups that act on them. It therefore includes representation theory of groups, manifolds with group action, fields with Galois groups acting, equivariant cohomology theories and the categorical structures associated to change of groups. As for the groups, they may be finite or infinite, discrete, profinite, continuous, smooth, global or generic.
The workshop will gather together mathematicians from many fields to benefit from the range and richness this brings, to encourage interaction between participants from different fields, and to build connections between different research areas. Speakers are encouraged to make their talks accessible to newcomers to the field, both established mathematicians and early career researchers.
The format is also designed to give time for discussion with four plenary talks per day except on Wednesday where the afternoon will be free and there will be three talks in the morning.
As one way to start conversations we will have a Gong Show on Monday afternoon: participants at any career stage can volunteer to use one of the very short slots to describe a problem or a result and thereby begin conversations during the rest of the week.
Click here for the schedule.
Click here for the abstracts.
Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.
Video Recordings
Day 1
Nick Kuhn: Chromatic fixed point theory
Catharina Stroppel: Ext and endomorphism algebras motivated by Fukaya categories
Natalia Castellana: Cosupport and costratification in tt-geometry
Markus Hausmann: Invariant prime ideals in equivariant Lazard rings
Day 2
Luca Pol: Classifying separable algebras via Galois theory
Magdalena Kedziorek: Uniqueness of rational equivariant K-theory
Kaif Hilman: Multiplicative norms on equivariant algebraic K-theory
Day 3
Nadia Mazza: On endotrivial modules
Ivo Dell'Ambrogio: Equivariant tensor triangulated categories of C*-algebras
Paul Goerss: J-homomorphisms and Picard Groups
Day 4
Amnon Neeman: Vanishing negative K-theory and bounded t-structures
Achim Krause: Integral endotrivial modules
Sira Gratz: Invariants of bounded and perfect complexes
Day 5
Bernhard Keller: On the Donovan-Wemyss conjecture, after Wemyss, Jasso-Muro and others
Peter Symonds: The module structure of a groupt action on a ring
Robert Burklund: The Balmer spectrum of cellular C-motivic spectra