Physics and knot homologies

Workshop theme

This workshop will explore developments in string theory and quantum field theory related to categorification and the topology of knots and 3-manifolds. Topics of interest include: BPS states and their relation to categorified knot invariants, connections with contact homology and augmentation varieties, topological recursion, the 3d-3d correspondence, and Witten's approach to Khovanov homology.

Applications for this workshop are now closed

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Physics and knot homologies, where work on this paper was undertaken. This work was supported by EPSRC grant EP/K032208/1.

Timetable

Monday 10th April 2017
09:00 to 09:50	Registration	No Room Required
09:50 to 10:00	Welcome from Christie Marr (INI Deputy Director)	No Room Required
10:00 to 11:00	Cumrun Vafa Harvard University String Theory and Homological Invariants for 3-Manifolds	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Daniel Roggenkamp Universität Mannheim Surface operators and categorification of quantum groups	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Andrea Brini Imperial College London Mirror symmetry, integrable systems and the Gopakumar--Vafa correspondence for Clifford--Klein 3-manifolds	Room 1
14:30 to 15:30	Informal discussion and questions	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Anna Beliakova Universität Zürich Unified invariants of homology 3-spheres	Room 1
17:00 to 18:00	Welcome Wine Reception	No Room Required

Tuesday 11th April 2017
10:00 to 11:00	Jørgen Andersen Aarhus Universitet The Verlinde formula for Higgs bundle moduli spaces	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Matthew Hogancamp University of Southern California Khovanov-Rozansky homology and q,t Catalan numbers	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Piotr Kucharski University of Warsaw Knots, (extremal) A-polynomials, and BPS invariants	Room 1
14:30 to 15:30	Ramadevi Pichai Indian Institute of Technology Arborescent knots, mutants - current status on their invariants	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Paul Wedrich Imperial College London On colored link homologies	Room 1

Wednesday 12th April 2017
10:00 to 11:00	Pavel Putrov Institute for Advanced Study, Princeton Integrality in analytically continued Chern-Simons theory	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Tobias Ekholm Uppsala Universitet Higher genus knot contact homology and recursion for the colored HOMFLY polynomial	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 17:00	Free Afternoon	No Room Required
19:30 to 22:00	Formal Dinner at Trinity College	No Room Required

Thursday 13th April 2017
10:00 to 11:00	Mohammed Abouzaid Columbia University Towards a symplectic model of odd Khovanov homology	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Piotr Sulkowski Uniwersytet Warszawski; CALTECH (California Institute of Technology) BPS states, knots and quivers	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Alexey Sleptsov ITEP (Institute for Theoretical and Experimental Physics) Colored knot invariants from Reshetikhin-Turaev approach	Room 1
14:30 to 15:30	Amer Iqbal BPS states of M5-brane on T^3	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required

Homology theories in low dimensional topology

Organisers

Tudor Dimofte University of California, Davis
Sergei Gukov Harvard University
Jacob Rasmussen University of Cambridge

Speakers

Mohammed Abouzaid Columbia University
Jørgen Andersen Aarhus Universitet
Anna Beliakova Universität Zürich
Andrea Brini Imperial College London
Tobias Ekholm Uppsala Universitet
Matthew Hogancamp University of Southern California
Amer Iqbal
Piotr Kucharski University of Warsaw
Ramadevi Pichai Indian Institute of Technology
Pavel Putrov Institute for Advanced Study, Princeton
Daniel Roggenkamp Universität Mannheim
Alexey Sleptsov ITEP (Institute for Theoretical and Experimental Physics)
Piotr Sulkowski Uniwersytet Warszawski; CALTECH (California Institute of Technology)
Cumrun Vafa Harvard University
Paul Wedrich Imperial College London

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Participants

Mohammed Abouzaid Columbia University
Jørgen Andersen Aarhus Universitet
Cristina Ana-Maria Anghel Université Paris 7 - Denis-Diderot
Christian Blanchet Université Denis Diderot
Benjamin Bode University of Bristol
Andrea Brini Imperial College London
Vincent Colin Université de Nantes
Tudor Dimofte University of California, Davis
Tobias Ekholm Uppsala Universitet
Paolo Ghiggini CNRS (Centre national de la recherche scientifique); Université de Nantes
Marco Golla Uppsala Universitet
Cameron Gordon University of Texas at Austin
Matthew Hogancamp University of Southern California
Amer Iqbal
Piotr Kucharski University of Warsaw
Ana Lecuona Aix Marseille Université
Joan Licata Australian National University
Anthony Licata Stanford University
Francesco Lin Princeton University
Andrew Lobb University of Durham
Martin Palmer-Anghel University of Bonn
Ramadevi Pichai Indian Institute of Technology
Pavel Putrov Institute for Advanced Study, Princeton
Jian Qiu Uppsala Universitet
Jacob Rasmussen University of Cambridge
Sarah Rasmussen University of Cambridge
Daniel Roggenkamp Universität Mannheim
Alexey Sleptsov ITEP (Institute for Theoretical and Experimental Physics)
Marko Stosic Instituto Superior Técnico, Lisboa
Piotr Sulkowski Uniwersytet Warszawski; CALTECH (California Institute of Technology)
Richard Thomas Imperial College London
Cumrun Vafa Harvard University
Andy Wand University of Glasgow
Liam Watson
Paul Wedrich Imperial College London
Claudius Zibrowius University of Cambridge