Seminar Geometric Methods in Mathematics
Link: https://bbb.tu-dresden.de/b/ulr-ha4-xul-uoo
This is the website of the research seminar of Uli (Prof. Dr. Ulrich Krähmer) and his group. The talks usually cover topics such as homological algebra and category theory, noncommutative algebra and geometry, or Hopf algebras and their generalisations. The target audience consists of PhD and MSc students who write their thesis in one of these areas. Of course everyone is welcome, please contact us to be added to the email list if you want to join.
There will be a blend of external and internal speakers giving formal and informal talks, or we just read and discuss as a group, sometimes focussing for a few weeks on one topic. The only rule is that we meet each week in term time.
Unless otherwise indicated, the seminar takes place every Monday at 3:00 PM (CEST/CET). It is streamed on BigBlueButton: https://bbb.tu-dresden.de/b/ulr-ha4-xul-uoo. We will try to stream even the offline talks, so that people outside of Dresden will not miss out on anything.
In person talks will most likely happen in the room Z21/250.
Please register for the Mailing-List via: https://mailman.zih.tu-dresden.de/groups/listinfo/math-geometric-method
The speakers for the summer term 2023/24 are:
Monday |
Christian Lomp, University of Porto |
Monday 15.04.2024 online |
Ayelet Lindenstrauss, Indiana University |
Monday 22.04.2024 |
Zbigniew Wojciechowski, TU Dresden Diagrammatics for representations of the smallest quantum symmetric pair Representations are good, but diagrams are better. I explain how to do diagrammatics for type I and II representations of Uq(sl2) and how to extend that diagrammatics to module category diagrammatics for the coideal subalgebra Uq'(gl1), which forms with Uq(sl2) the smallest quantum symmetric pair. If time allows I explain some combinatorial applications of our diagrammatics, involving counting dimensions of Hom spaces. |
Monday |
Boris Shoikhet, Euler International Mathematical Institute A generalisation of the Davydov-Yetter complex and deformations of monoidal categories We introduce a new complex associated with the following data. Let k be a field, and let C,D be k-linear (dg) bicategories (k a field), F,G: C-->D be strong functors, \eta,\theta: F-->G be strong natural transformations. Then our complex A(C,D)(F,G)(\eta,\theta) can be thought of as the complex of derived modifications (that is, it is a derived version of classical 3-morphisms in the 3-category Bicat, known as modifications). (It is the n=2 version of the well-known complex associated with 1-dg-categories C,D, and dg functors F,G: C-->D, equal to the Hochschild cochain complex Hoch(C, M_{F,G}), where the C-bimodule M_{F,G}=D(F(-),G(=)), which plays the role od derived natural transformations). This complex A(C,D)(F,G)(\eta,\theta) is a totalisation of a functor \Theta_2-->(complexes). For the case of monoidal category C (a bicategory with 1 object), it is shown that H^3 of our complex A(C,C) for F=G=id, \eta=\theta=id is equal to the classes of infinitesimal deformations of C. Some higher structures on these complexes are constructed. It is expected that there is a e_3-algebra structure on A(C,C) for any k-linear bicategory C. (Joint work with P. Panero). |
Monday 06.05.2024 |
Adam Rennie, University of Wollongong |
Monday
27.05.2024 |
Andre Henriques, Oxford University
Bicommutant categories |
Monday |
Niels Kowalzig, University of Rome Tor Vergata |
Monday 17.06.2024 |
Jean Simon Pacaud Lemay, Macquarie University |
Monday |
Justin Barthite, University of Colorado Boulder |
Monday 08.07.2024 |
Tony Zorman, TU Dresden TBA |
The speakers for the winter term 2023/24 are:
Monday |
Benjamin Haïoun, Paul Sabatier University (Toulouse III) |
Wednesday 18.10.2023 |
John Boiquaye, University of Ghana PhD Defense |
Monday 06.11.2023 |
Oliver Sander, TU Dresden |
Monday 13.11.2023 |
Pedro Tamaroff, Humboldt University of Berlin |
Monday 20.11.2023 online |
Marco De Renzi, University of Montpellier |
Monday |
Cole Comfort, University of Lorraine |
Monday |
Ehud Meir, University of Aberdeen |
Monday |
Adriana Balan, University Politehnica of Bucharest On 2-categorical aspects of (quasi)bialgebras Over the past decades, a plethora of results have been obtained concerning the structure of various categories of (co)algebras, bialgebras and Hopf algebras. These include among others, completeness and cocompleteness, local presentability, whether the respective category is abelian, monoidal, Tannaka reconstruction theory, and so on. In this talk we shall bring forward some 2-categorical aspects of the above-mentioned structures, starting from Day and Street’s observation that (dual) quasi-bialgebras are the pseudomonoids in the monoidal 2-category of coalgebras, and (dual) quasi-Hopf algebras are instances of autonomous pseudomonoids in the monoidal bicategory of coalgebras and bicomodules. |
Monday 15.01.2024 |
Daniel Gromada, Czech Technical University in Prague |
Monday |
Anna Rodriguez Rasmussen, Uppsala University |
Monday |
Manuel Bodirsky, TU Dresden |
The speakers for the summer term 2023 were:
Date | Speaker |
31.08.2023 |
Josefin Bernhard |
10.07.2023 |
Mateusz Stroinski |
03.07.2023 |
Daniel Graves |
26.06.2023 |
Anna-Katharina Hirmer |
19.06.2023 |
Eamon Quinlan-Gallego |
12.06.2023 |
Ján Pulmann |
05.06.2023 |
Nima Rasekh |
15.05.2023 | Estanislao Herscovich |
08.05.2023 |
Ben Elias |
24.04.2023 |
Andrew Baker |
17.04.2023 | Friedrich Wagemann |
The speakers for the winter term 2022/23 were:
Date | Speaker |
17.10.2022 |
Daniel Tubbenhauer |
24.10.2022 |
Richard Garner |
07.11.2022 |
John Bourke |
14.11.2022 | Julian Holstein |
15.11.2022 |
Chris Heunen |
21.11.2022 |
Misha Feigin |
28.11.2022 | Joanna Meinel |
05.12.2022 |
Andrea Gagna |
12.12.2022 | Vanessa Miemietz |
19.12.2022 |
George Balla |
16.01.2023 |
Tony Zorman |
23.01.2023 |
Zbigniew Wojciechowski |
30.01.2023 | Ulrich Krähmer |
The speakers for the summer term 2022 were:
Date |
Speaker |
04.04.2022 11.04.2022 25.04.2022 02.05.2022 09.05.2022 16.05.2022 23.05.2022 30.05.2022 02.06.2022 13.06.2022 20.06.2022 27.06.2022 04.07.2022 11.07.2022 08.08.2022 22.08.2022 |
Robert Laugwitz Gregory Ginot Janez Mrcun Catherine Meussburger Ben Ward Michael Batanin Muriel Livernet Pierre-Louis Curien Ivan Bartulović Bojana Femic Natalia Iyudu Ralph Kaufmann Fosco Loregian Ieke Moerdijk Noemi Combe Hans-Christian Herbig |
The speakers for the winter term 2021/22 were:
Date |
Speaker |
04.10.2021 11.10.2021 18.10.2021 25.10.2021 01.11.2021 08.11.2021 15.11.2021 22.11.2021 29.11.2021 06.12.2021 13.12.2021 20.12.2021 10.01.2022 24.01.2022 31.01.2022 |
Martin Markl Lukas Woike Sebastian Halbig Myriam Mahaman Aryan Ghobadi Laiachi El-Kaoutit Jeff Giansiracusa Jens Kaad Bruce Bartlett Chelsea Walton Michael Cuntz Shahn Majid Tony Zorman Stephanie Feilitzsch (Viva) Myriam Mahaman |
The speakers for the summer term 2021 were:
Date |
Speaker |
19.04.2021 26.04.2021 03.05.2021 10.05.2021 17.05.2021 31.05.2021 07.06.2021 14.06.2021 21.06.2021 28.06.2021 05.07.2021 12.07.2021 26.07.2021 |
Christian Korff Cigdem Yirtici internal presentations Manuel Martins Nicolas Garrel Ingo Runkel Azat Gainutdinov Yorck Sommerhäuser Claudia Scheimbauer Paolo Saracco Tom Leinster Martin Hyland Tony Zorman |
The speakers for the winter term 2020/21 were:
Date |
Speaker |
26.10.2020 02.11.2020 09.11.2020 16.11.2020 23.11.2020 30.11.2020 07.12.2020 14.12.2020 11.01.2021 18.01.2021 25.01.2021 01.02.2021 08.02.2021 15.02.2021 |
Atabey Kaygun Lucia Rotheray Sebastian Halbig Matthias Valvekens Friedrich Wagemann Stephanie Feilitzsch David Jordan Tomasz Brzezinski Anna Kula Ilya Shaprio Yuri Berest Blessing Oni John Boiquaye Ivan Angiono |