LAGOON: Leicester Algebra and Geometry Open ONline

These seminars are organized by Frank Neumann and Sibylle Schroll, University of Leicester

This Algebra and Geometry webinar series has a strong focus on Representation Theory and Algebraic Geometry and their many interactions covering topics such as homological mirror symmetry, stability conditions, derived categories, dg-categories, Hochschild cohomology of algebras, moduli spaces and algebraic stacks, derived algebraic geometry etc.

 

These seminars take place on Thursday at 13:00-14:00 (BST)

To sign up to participate in these seminars, please complete this form.

Registration will close at 11.00 each Thursday.

You will be sent a link to the Zoom meeting on Thursday morning


These seminars are recorded. All recordings can be found here.


Forthcoming seminars:

Future speaker details can be found her.

9 July !!4-5pm!!

Alexander Polishchuk (University of Oregon, USA)

Title: Geometry of the Associative Yang-Baxter equation

Abstract: I will describe the connection, discovered jointly with Yanki Lekili, between Associative Yang-Baxter equation (AYBE) and pairs of 1-spherical objects in A-infinity categories. I will then explain how such pairs arise from noncommutative orders over singular curves, in particular, how to get all nondegenerate trigonometric solutions of the AYBE in this way. If time allows, I will talk about the Lie analog of this story for the classical Yang-Baxter equation.

 

 

16 July

Markus Reineke (Universität Bochum, Germany)

Title: Fano quiver moduli

 

Previous seminars:

Thursday May 14

Hipolito Treffinger (University of Leicester)

Representation theoretic aspects of scattering diagrams

 

Thursday May 21

Alex Takeda (IHES, France)

Gluing relative stability conditions along pushouts

 

Thursday May 28

Bernhard Keller (Université Paris Diderot - Paris 7, France)

Grassmannian braiding categorified

 

4 June

Balazs Szendroi (University of Oxford, UK)

Title: Hilbert schemes of points on singular surfaces: combinatorics, geometry, and representation theory

 

11 June

Qiu Yu (Tsinghua University Beijing, China)

Title: Graded decorated marked surfaces: Calabi-Yau-X categories of gentle algebras

 

18 June

Lara Bossinger (Instituto de Matemáticas UNAM Unidad, Mexico)

Title: Families of Gröbner degenerations

25 June

Wendy Lowen  (University of Antwerp, Belgium)

Title: linear quasi-categories as templicial modules (joint work with Arne Mertens)

2 July

Hiraku Nakajima (Kavli IPMU, Tokyo, Japan)

Title: Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras

Abstract: Balazs explained his conjecture with Gyenge and Nemethi on Euler numbers of Hilbert schemes on June 4. I proved it by showing that quantum dimensions of standard modules of quantum affine algebras are always 1. This remarkable property is the simplest case of a conjecture on quantum dimensions of Kirillov-Reshetikhin modules proposed by Kuniba in 93, which is still open for E7,8 in general. In this talk, I will emphasize on representation theoretic aspects to minimize overlaps with Balazs' talks

 

 


Zoom is the online platform being used to deliver this seminar series.

This seminar series is supported as part of the ICMS/INI Online Mathematical Sciences Seminars.