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Quantum integrability and quantum Schubert calculus

Scientific meeting

Location

Kavli Royal Society Centre, Chicheley Hall, Newport Pagnell, Buckinghamshire, MK16 9JJ

Overview

Theo Murphy international scientific meeting organised by Dr Christian Korff and Professor Vassily Gorbounov.

Depiction of the quantum Euler class (a quantity in quantum Schubert calculus) in terms of domain wall boundaries (blue lines) of the Ising model on the torus (a quantity in quantum integrable systems). Credit: Christian Korff

There is a new direction in Schubert calculus, which links the Yang-Baxter equation, the central equation in quantum integrable systems, to problems in representation theory that have their origin in enumerative geometry. This will be a cross-disciplinary meeting that brings together researchers of different career stages and from different areas in mathematics for a mix of talks and focused discussion rounds.

More information on the schedule of talks and speakers are available below. Speaker abstracts will be available closer to the meeting date. Recorded audio of the presentations will be available on this page after the meeting has taken place.

Poster session

There will be a poster session on Monday 11 June 2018. If you would like to apply to present a poster please submit your proposed title, abstract (no more than 200 words and in third person), author list and name of the proposed presenter and institution to the Scientific Programmes team with the subject line "Poster submission: quantum integrability" by 30 April 2018. Please note that places are limited and are selected at the scientific organisers discretion. Poster abstracts will only be considered if the presenter is registered to attend the meeting.

Attending this event

This is a residential conference, which allows for increased discussion and networking.

  • Free to attend
  • Advanced registration essential (please request an invite)
  • Catering and accommodation available to purchase during registration

Enquiries: contact the Scientific Programmes team

Event organisers

Select an organiser for more information

Schedule of talks

11 June

12:00-17:00

Session 1

6 talks Show detail Hide detail

Chairs

Professor Vassily Gorbounov, University of Aberdeen, UK

13:30-14:15

Professor Andrei Okounkov, Columbia University, USA

Show speakers

14:15-15:00

Professor Mina Aganagic, University of California, Berkeley, USA

Show speakers

15:00-15:30 Tea

15:30-16:15 BPS/CFT correspondence

Professor Nikita Nekrasov, The Simons Center for Geometry and Physics, Stony Brook University, USA

Show speakers

16:15-17:00 Mirror symmetry and Grassmannians

Professor Konstanze Rietsch, King's College London, UK

Show speakers

17:00-18:00 Poster session

12 June

09:00-12:30

Session 2

5 talks Show detail Hide detail

Chairs

Dr Laurent Manivel, CNRS, Paul Sabatier University, France

09:00-09:45 Stable envelopes and weight functions

Professor Alexander Varchenko, University of North Carolina at Chapel Hill, USA

Show speakers

09:45-10:30 Schubert puzzles and quantum integrability

Professor Paul Zinn-Justin, University of Melbourne, Australia

Show speakers

10:30-11:00 Coffee

11:00-11:45 Mirror symmetry for flag varieties via Langlands duality

Professor Thomas Lam, University of Michigan, USA

Show speakers

11:45-12:30

Dr Lotte Hollands, Heriot-Watt, UK

Show speakers

12:30-13:30

Lunch

13:30-17:00

Session 3

5 talks Show detail Hide detail

Chairs

Professor Eric Vasserot, Institute of Mathematics of Jussieu - Paris Left Bank, France

13:00-14:15 Characteristic classes of Schubert cells and stable envelopes

Professor Leonardo Mihalcea, Virginia Tech University, USA

Show speakers

14:15-15:00 R-matrices and Hilbert schemes

Professor Andrei Negut, Massachusetts Institute of Technology, USA

Show speakers

15:00-15:30 Tea

15:30-16:15 Cherednik operators at infinity

Professor Maxim Nazarov, University of York, UK

Show speakers

16:15-17:00

13 June

09:00-12:30

Session 4

5 talks Show detail Hide detail

Chairs

Professor Andrei Okounkov, Columbia University, USA

09:00-09:45 Quantum Kadomtsev-Petviashvili equation

Professor Evgeny Sklyanin FRS, University of York, UK

Show speakers

09:45-10:30 Elliptic stable envelope for instanton moduli spaces

Professor Andrey Smirnov, University of California, Berkeley, USA

Show speakers

10:30-11:00 Coffee

11:00-11:45 Quantum cohomology of some varieties with an action of an algebraic group

Dr Clelia Pech, University of Kent, UK

Show speakers

11:45-12:30 Panel discussion and overview

12:30-13:30

Lunch and meeting close

Quantum integrability and quantum Schubert calculus Kavli Royal Society Centre, Chicheley Hall Newport Pagnell Buckinghamshire MK16 9JJ