Fri, 28 Jun 2024

12:00 - 13:15
L3

Homological link invariants from categories of A-branes

Elise LePage
(University of California Berkeley)
Abstract

In recent work, Aganagic proposed a categorification of quantum link invariants based on a category of A-branes. The theory is a generalization of Heegaard–Floer theory from gl(1|1) to arbitrary Lie algebras. It turns out that this theory is solvable explicitly and can be used to compute homological link invariants associated to any minuscule representation of a simple Lie algebra. This invariant coincides with Khovanov–Rozansky homology for type A and gives a new invariant for other types. In this talk, I will introduce the relevant category of A-branes, explain the explicit algorithm used to compute the link invariants, and give a sketch of the proof of invariance. This talk is based on 2305.13480 with Mina Aganagic and Miroslav Rapcak and work in progress with Mina Aganagic and Ivan Danilenko.

Week 8 TT Student Bulletin

Hello from your weekly Student Bulletin.

It's the last week (and last Bulletin!) of term, and we are in the midst of exams. The Academic Admin office sends everyone sitting exams luck for the coming weeks.

As always, do make use of Student Welfare, which offers a number of services including counselling, Nightline, and peer supporters. 

Oxford Mathematics merchandise - new additions

We have new additions to our range of merchandise, namely notebooks, hot/cold metal bottles and pens. And key rings will be coming very soon. And you can still purchase old favourites such as caps (below).

If there is anything you'd like to see that we don't currently have let Dyrol know. 

Browse

Tue, 12 Nov 2024
13:00
L2

Machine Learning and Calabi-Yau Manifolds

Magdalena Larfors
(Uppsala)
Abstract

: With motivation from string compactifications, I will present work on the use of machine learning methods for the computation of geometric and topological properties of Calabi-Yau manifolds.

Photo

Alain Goriely appointed Gresham Professor of Geometry

Oxford Mathematician Alain Goriely has been appointed Gresham Professor of Geometry. The Professor of Geometry at Gresham College, London, is one of ten lecturers whose roles are to give free educational lectures to the general public, the purpose for which the college was founded in 1597 in the will of Thomas Gresham. In total there are over 130 public lectures a year, all of which are online.

Begbroke Science Park Open Doors

 Begbroke Science Park, with partner Oxford University Development (OUD), will be holding an open doors event to celebrate the completion of the two new buildings on the site which add around 12,500m2 of highly flexible office and laboratory space to the Science Park. One of them, currently known as Building A, will be occupied by University research groups; the other, Building One, will hold research spinouts and other innovative private sector partners.

Alain Goriely has been appointed Gresham Professor of Geometry

The Professor of Geometry at Gresham College, London, is one of ten lecturers whose roles are to give free educational lectures to the general public, the purpose for which the college was founded in 1597 in the will of Thomas Gresham. In total there are over 130 public lectures a year, all of which are online.

Image of Becky Crossley and a whiteboard full of maths

Show Me the Maths

'Show Me the Maths' gets down to the detail of the mathematics that takes place round here. These short, 90-second films, deliberately display the complexity of our subject. They span fundamental mathematics such as quasi-coherent sheaves and Dirichlet L-functions while also taking in our work in applied mathematics, such as the modelling of cancer treatment and efforts to make complex mathematics accessible to companies who need to use it in product development.

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