Conference on Hopf algebras, quantum groups,
monoidal categories and related structures
A distinguished feature of Hopf algebras is that they allow us to describe in purely algebraic terms the symmetries of geometric spaces, both in the more classical commutative setting and in the more modern noncommutative one. The relationship is so tight that, since the study of noncommutative spaces and their symmetries has been largely inspired by phenomena in quantum physics, Hopf algebras appearing in this setting are often referred to as quantum groups.
In addition, a central role in Hopf algebra theory is played by their categories of representations, which turn out to be closed and monoidal in a compatible way. In this direction, a mayor line of investigation in the modern approach to this field focuses on the fact that, under reasonably mild conditions, monoidal categories can be related to representation categories of suitably constructed Hopf algebras.
The three main topics of the conference: Hopf algebras, quantum groups and monoidal categories, represent then three aspects of the same fundamental theme. The aim of this meeting is to gather international experts, young promising researchers and PhD students together, in order to share the newest ideas, results and advances in the field.
Hopf25 is open to everyone interested in Hopf algebras and related structures, such as weak Hopf algebras, quasi Hopf algebras, (quasi)triangulated Hopf algebras, multiplier Hopf algebras, Hopfish algebras, Hopf algebroids, Hopf monads, Hopf categories, skew monoidal categories, braided monoidal categories, (modular) tensor categories, fusion categories, ribbon categories, TQFTs, Nichols algebras, (skew) braces, bracoids, trusses, Hopf-Galois theory, Tannaka duality, partial representations, 2-representations, module categories, categorification, to mention but a few.
If you would like to find the presentation of your talk on this website, please contact Paolo Saracco.
The conference will start Tuesday April 22 in the morning and end Saturday April 26 at noon
| Tuesday 22/04 | Wednesday 23/04 | Thursday 24/04 | Friday 25/04 | Saturday 26/04 | |
|---|---|---|---|---|---|
| 09:30 - 09:55 | Ardizzoni On the Hopf envelope of finite-dimensional bialgebras |
Lentner Proving the logarithmic Kazhdan-Lusztig correspondence |
Shimizu Simple algebras in Rep(uq(sl2)) |
Snyder Interpolation categories for conformal embeddings |
|
| 10:00 - 10:25 | Weber Hopf-Galois extensions in noncommutative differential geometry |
O’Buachalla Nichols algebras versus bimodule connections |
Fuchs Grothendieck-Verdier module categories and Frobenius algebras |
Henriques Bicommutant categories |
|
| 10:30 - 10:55 | Welcome, registration |
Schauenburg Hopf bigalois extensions from skew parings of Hopf algebroids |
Halbig A non-semisimple version of the Kitaev model |
Jaklitsch Frobenius functors and pivotal comodule algebras |
Virelizier Monoidal categories graded by crossed modules |
| 11:00 - 11:30 | and coffee | Coffee break | Coffee break | Coffee break | Coffee break |
| 11:30 - 12:25 | Walton Representations of braided categories |
Majid Braided Lie algebras of quantum doubles (tentative) |
Miemietz Induction from a maximal parabolic for Soergel bimodules of extended affine type A |
Nikshych Tannakian radical and mantle of a braided fusion category |
Andruskiewitsch On the finite generation of the cohomology of abelian extensions of Hopf algebras |
| 12:30 - 12:45 | Storm session | ||||
| 12:45 - 14:00 | Lunch | Lunch | Lunch | Lunch | |
| 14:00 - 14:25 | Parallel sessions | Parallel sessions | Parallel sessions | Parallel sessions | |
| 14:30 - 14:55 | Parallel sessions | Parallel sessions | Parallel sessions | Parallel sessions | |
| 15:00 - 15:25 | Parallel sessions | Parallel sessions | Parallel sessions | Parallel sessions | |
| 15:30 - 16:00 | Coffee break | Coffee break | Coffee break | ||
| 16:00 - 16:25 | Parallel sessions | Parallel sessions | Parallel sessions | ||
| 16:30 - 16:55 | Parallel sessions | Parallel sessions | Parallel sessions | ||
| 17:00 - 18:00 | Beer tasting | ||||
| Evening | Social dinner |
| Auditorium E | Auditorium F | Auditorium G | |
|---|---|---|---|
| 14:00 - 14:25 | Sciandra Hopf braces and semi-abelian categories |
Pham The orbit method for the Virasoro algebra |
Davies Categories graded by group homomorphisms |
| 14:30 - 14:55 | Byott Hopf-Galois structures and skew braces |
Ferreira Braid group actions on quantum invariants of free algebras |
Großkopf Remarks on Hopf categories |
| 15:00 - 15:25 | Darlington Hopf-Galois structures on parallel extensions |
Taipe On algebraic quantum transformation groupoids |
Bottegoni Heavily semiseparable functors |
| 15:30 - 16:00 | Coffee break | Coffee break | Coffee break |
| 16:00 - 16:25 | Brown Finiteness conditions on Hopf algebras |
Maksimau Geometric categorification of Verma modules: Grassmannian Quiver Hecke algebras |
Zorman Deligne reconstruction for lax module monads |
| 16:30 - 16:55 | Lomp Noetherian domains whose simple modules have locally Artinian injective hulls |
Manko Two families of non-factorisable ribbon Hopf algebras and 4d topology |
Green Tannakian reconstruction for fusion 2-categories |
| Auditorium E | Auditorium F | Auditorium G | |
|---|---|---|---|
| 14:00 - 14:25 | Dokuchaev (Co)Homology of partial smash products |
Aschieri Noncommutative Levi-Civita connections |
Ros Camacho Detecting algebra objects from NIM-reps in pointed, near-group and quantum group-like fusion categories |
| 14:30 - 14:55 | Banarjee Comodule theories in Grothendieck categories and relative Hopf objects |
Pagani Reductions of quantum principal bundles |
Watkins Functors from Bicrossed Fusion Categories |
| 15:00 - 15:25 | Nguyen Homological properties of braided Hopf algebras |
Fioresi Differential calculus on quantum principal bundles over projective bases |
Muller Relation between bicrossed products of fusion categories and crossed extensions |
| Auditorium E | Auditorium F | Auditorium G | |
|---|---|---|---|
| 14:00 - 14:25 | Mahaman Rings of differential operators and Hopf algebroids |
Bazlov Twists of reflection groups and Cherednik algebras |
Barbier Diagram categories of Brauer type |
| 14:30 - 14:55 | Kour Measurings of Hopf algebroids and morphisms in cyclic (co)homology theories |
Heidersdorf On highest weight structures, Koszulity, and Khovanov algebras |
Langlois-Rémillard A category of stripped cobordisms and generalised Deligne category |
| 15:00 - 15:25 | Ferri Matched pairs and Yetter-Drinfeld braces |
Krajczok Braided tensor product of dynamical von Neumann algebras |
Décoppet Higher Verlinde categories: the mixed case |
| 15:30 - 16:00 | Coffee break | Coffee break | Coffee break |
| 16:00 - 16:25 | Guédénon Fundamental theorem of (A,g,H)-comodules |
Bhattacharjee Bimodule connection for relative Hopf module over irreducible quantum flag manifolds |
Burciu Ito-Michler type properties for braided fusion categories |
| 16:30 - 16:55 | Han Hopf Galois extensions of Hopf algebroids |
Carotenuto Convex orderings and quantum tangent spaces |
Peña Pollastri Exact Factorizations of fusion categories and the bicrossed product construction |
| Auditorium E | Auditorium F | Auditorium G | |
|---|---|---|---|
| 14:00 - 14:25 | Sommerhäuser Mapping class group representations from Hopf algebras: examples |
Rivezzi M-adapted functors and Hopf algebras |
Shibata Exact module categories over Rep(uq(sl2)) |
| 14:30 - 14:55 | Kashina Semisimple Hopf algebras constructed as biproducts and their properties |
Massar The Poisson-Fourier transform |
Stroiński Simple algebras and exact module categories |
| 15:00 - 15:25 | Gonzales Rodriguez Factorizations and double cross products of Hopf quasigroups |
Meereboer Symmetries for spherical functions of type χ for quantum symmetric pairs |
Batista Globalization and the biactegory of partial modules |
| 15:30 - 16:00 | Coffee break | Coffee break | Coffee break |
| 16:00 - 16:25 | Kesten On extended Frobenius structures |
Vercleyen Anyonica and the anyonwiki |
Škoda Bicategorical Doi-Takeuchi correspondence and locally cleft noncommutative principal bundles |
| 16:30 - 16:55 | Baker Hopf Hecke algebras |
Xu Étale algebras in 4D Dijkgraaf-Witten models |
Aziz Generalized Yetter-Drinfeld modules, center of bi-actegories, and bi-Galois co-objects |
People interested in participating may register by filling in the form below.
The deadline is January 31, 2025 for registration and abstract submission.
The deadline is March 20, 2025 for late registration; we do not accept new contributions.
Registrations are closed.
There is a registration fee of 100 EUR, covering coffee breaks and lunch tickets for the student restaurant.
There is another (optional) cost of 70 EUR for the conference dinner.
A registration only becomes definitive after payment of the fee, which can be done at a separate secured payment page of the Vrije Universiteit Brussel (VUB):
to which you will also find a link on the last page of the registration form.
Payment can be done via debit or credit card.
You can pay the fee immediately or wait (e.g. until news about acceptance of your contribution), the deadline for payment is March 31, 2025.
Warning: We do not have any agreement with travel agencies or hotels to reserve accommodation or flights for participants, yet. If we have to contact you, we will do this via our email addresses. Please, if you are contacted by anybody offering help in reserving accommodation or travels, contact us before answering.
The workshop will take place at:
ULB - Campus de la Plaine
Bâtiment FORUM
Forums E,F,G
By plane - Brussels has two international airports: Brussels Zaventem (BRU) and Brussels South Charleroi (CRL).
Brussels Zaventem is well-connected to the city by train and by bus. From Brussels Charleroi there are numerous Flibco Shuttle buses leading directly to Bruxelles-Midi or trains from Charleroi city to Bruxelles Central and Midi.
By train - Brussels has many train stations. The main ones are Bruxelles-Midi (which is reached by high-speed trains such as Eurostars or TGVs) and Bruxelles-Central.
From Bruxelles-Central one can
Usually the easiest way to move is by Metro, but also buses and trams are not to be neglected. Please, check the webpage of STIB-MIVB or Google Maps.
Campus La Plaine is reached by Metro Line number 5 and Buses number 71 and 95.
As there are very few hotels close to the campus, we suggest to choose an hotel closer to the city center. Here is a short list of possible alternatives.