The D. E. Shaw group is now accepting applications for our summer 2025 internship program.
Homological link invariants from categories of A-branes
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.
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.
13:00
Machine Learning and Calabi-Yau Manifolds
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.
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, 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.
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.