Scientific Organisers
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Daisuke Kishimoto, Kyushu University
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Mark Grant, University of Aberdeen
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Stephen Theriault, University of Southampton
About:
Classifying spaces are fundamental in algebraic topology. Given a group (finite or Lie groups, groups of automorphisms or diffeomorphisms, etc), its classifying space controls the theory in question. The topology of the classifying space tends to be incredibly rich and its structure reveals a great deal about the underlying objects.
This workshop brought together leading experts from multiple different areas where research was driven by the need to understand classifying spaces. The purpose was to share ideas and techniques that would generate new research. The involvement of early career researchers was embedded into the programme and further participation was encouraged. The workshop also celebrated the contributions made by Ran Levi.
Invited Speakers:
Dave Benson University of Aberdeen
Rachael Boyd University of Cambridge
Carles Broto Autonoma Barcelona
Natalia Castellana Autonoma Barcelona
Cristina Costoya University of A Coruña
Valentina Grazian Universita degli Studi di Milano
Richard Hepworth University of Aberdeen
Kathryn Hess École polytechnique fédérale de Lausanne
Norio Iwase Kyushu University
Magdalena Kedziorek Radboud University
Radha Kessar London City University
Manuel Krannich Karlsruher Institut für Technologie
Takahiro Matsushita University of the Ryukyus
Bob Oliver Université Paris 13
Irakli Patchkoria University of Aberdeen
Dai Tamaki Shinshu University
Mitsunobu Tsutaya Kyushu University
Antonio Viruel University of Malaga
Michael Weiss University of Muenster
Jie Wu BIMSA
Programme
| Monday 05 September 2022 | ||
| Registration and refreshments | ||
| Welcome and Housekeeping | ICMS and Organisers | |
| Bob Oliver , Université Paris 13 | A Krull-Remak-Schmidt theorem for fusion systems | |
| Rachael Boyd , University of Cambridge | Embedding spaces of split links | |
| Valentina Grazian, Universita degli Studi di Milano (Zoom) | On Sharpness for Fusion Systems | |
| Lunch Break | Lunch served at ICMS | |
| Irakli Patchkoria, University of Aberdeen | Morava K-theory of infinite groups and Euler characteristic | |
| Magdalena Kedziorek , Radboud University | Commutativity in equivariant homotopy theory | |
| Refreshments | ||
| Natalia Castellana, Autonoma Barcelona | Fusion medley | |
| Informal Welcome Reception at ICMS | ||
| Tuesday 06 September 2022 | ||
| Jie Wu , Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (Zoom) | Twisted homology and homotopy | |
| Mitsunobu Tsutaya, Kyushu University | Higher homotopy normalities in topological groups | |
| Refreshments | ||
| Cristina Costoya, University of A Coruña | The importance of being Rigid | |
| Lunch Break | Lunch served at ICMS | |
| Carles Broto , Autonoma Barcelona | Fusion systems of finite groups are tame | |
| Niall Taggart, Utrecht University | From K-theory to calculus | |
| Break with refreshments | ||
| Dave Benson (Public Lecture), University of Aberdeen | Completed classifying spaces of finite groups and their loop spaces. | |
| Drinks Reception at ICMS | ||
| Wednesday 07 September 2022 | ||
| Kathryn Hess, EPFL | A shadow perspective on equivariant Hochschild homologies | |
| Masahiro Takeda, Kyoto University | Cohomology of the spaces of commuting elements | |
| Refreshments | ||
| Qiaofeng Zhu, Vassar College (Zoom) | On the Rational Bredon Cohomology of Equivariant Config Spaces | |
| Antonio Viruel , University of Malaga | Realising finite sets of rational numbers as mapping degree sets | |
| Lunch at ICMS | Packed lunch available. Free afternoon for participants | |
| Whisky tasting evening | The Raeburn Hotel | |
| Thursday 08 September 2022 | ||
| Norio Iwase , Kyushu University | Topological Complexity of S^3/Q as a Linear Problem | |
| Takahiro Matsushita , University of the Ryukyus (Zoom) | The spaces of non-extendable quasimorphisms | |
| Refreshments | ||
| Richard Hepworth , University of Aberdeen | Homology of Algebras | |
| Lunch at ICMS | ||
| Radha Kessar , London City University | Fusion systems, counting conjectures, p-compact groups and finite groups of Lie type. | |
| Refreshments | ||
| Sebastian Chenery, University of Southampton | A Homotopy Theoretic Analogue to Wall's Theorem | |
| Mario Fuentes , University of Malaga | Lie models of classifying spaces. | |
| Workshop Dinner | Apiary Restaurant | |
| Friday 09 September 2022 | ||
| Dai Tamaki , Shinshu University (Zoom) | Model structures for Hopfological algebra | |
| Jan Steinebrunner , University of Copenhagen | The genus filtration on the surface modular operad | |
| Refreshments | ||
| Manuel Krannich , Karlsruher Institut für Technologie | The Disc-structure space | |
| Michael Weiss , University of Muenster | The diffeomorphism group of an exotic sphere | |
| Lunch at ICMS | Packed lunch available for participants to take away. |
