# Gaëtan Borot

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## PhD Thesis

You can download my thesis (in French, 10MB), or the slides (5 MB) of the defense.

## Upcoming seminars and conferences

- 9th April 2013: Combinatorics and Free Probability seminar, Universität des Saarlandes, "Analytic combinatorics of maps of all topologies".
- 19th April 2013: séminaire Cordes et Matrices, "Topological recursion in generalized matrix models and applications".
- 13th-17th May 2013: Conference "Quantum topology and hyperbolic geometry", Nha Trang, Vietnam.
- 22nd-28th May 2013: "Mathematische Arbeitstagung", Bonn.
- 25th-30th August 2013, : Workshop "Integrable Systems and Moduli Spaces", Banff Research Station.
- 16th-20th September 2013: "Hamiltonian PDEs,Frobenius Manifolds and Deligne-Mumford Moduli Spaces", SISSA, Trieste.

## Talks

- 15th March 2013: Theoretical Physics seminar, Université Montpellier 2,
*Abstract topological recursion and applications* - 4th March 2013: Mathematical Physics seminar, Geneva University,
*All order asymptotics of beta ensembles in the multi-cut regime* - 22th February 2013: seminar at LAREMA, Angers.
*Small dispersion regime in integrable systems, random matrices and topological recursion* - 14th February 2013: Conference "Two-Dimensional statistical mechanics", Les Diablerets.
*All loop models satisfy a topological recursion* - 28th January-1st February 2013: conference "Recursion and integrability", Center for Quantum Geometry of Moduli Spaces, Aarhus. Talk:
*Topological recursion and knot invariants: two early steps*. - 25th January 2013: Probability Seminar, Harvard,
*All-order asymptotics of beta ensembles in the multi-cut regime*. - 22th January: research seminar in Mathematics, Northeastern University,
*Matrix models, non-perturbative topological recursion, and knot invariants*. - 17th December 2012: Mathematical Physics seminar, LPTHE, Paris 6,
*Topological expansion in generalized matrix models* - 15th November 2012: Topology seminar, Université Montpellier 2,
*Algebraic geometry on character variety and a conjecture on all-order asymptotics of knot invariants*. - 24th October 2012: Random Matrix theory seminar, Universität Bielefeld.
*All order finite size corrections in repulsive particles systems*. - 3rd October 2012: informal seminar, LPT-ENS, Paris.
*O(n)-type singular integral equations and applications*. [Slides, 12 MB] - 19th September 2012: Number theory seminar, MPI Bonn.
*Asymptotics of the colored Jones polynomial, topological recursion and theta functions*. - 26th August 2012: workshop "Low dimensional topology and number theory", Oberwolfach.
*Asymptotics of invariants of 3-manifolds and topological recursion*. [Proceedings] - 25th July 2012: informal Mathematical Physics seminar, SISSA, Trieste.
*Asymptotics of wave functions and application to knot theory*. - 28th May-2nd June 2012: 3rd workshop on "Combinatorics of moduli spaces, cluster algebras, knots, and topological recursion", Moscow.
*Non-perturbative topological recursion and application to knot invariants*. - 21-23rd May 2012: workshop in honour of Sasha Its, "Integrable systems and random matrices", Chevaleret, Paris.
*Integrability, topological recursion for A-spectral curves, and knot invariants*. [Slides,13MB] - 16-18th May 2012: workshop "Contemporary ways of integrability", Lisbon University.
*Integrability, non-perturbative topological recursion and an application to knot invariants*. - 14th May 2012: Strings seminar, IST Lisbon.
*Matrix models, knot invariants and non-perturbative topological recursion*. [Slides, 13MB] - 30th April 2012: knot theory seminar, Université de Genève.
*A conjecture for the all-order asymptotics of the colored Jones polynomial of hyperbolic knots*. - 15-21st April 2012: workshop "Integrability in topological field theory", Hausdorff Center for Mathematics, Bonn.
*Topological recursion, theta functions, and perturbative knot invariants*. - March 2012: workshop in mathematical physics, Les Diablerets.
*Map enumeration problems in the O(n) loop model and Potts model*. - March 2012: winter school "Integrable systems and random matrices", Les Houches.
*Integrable systems, loop equations and topological recursion*. - February 2012: Stochastic Processes Seminar, Zürich Universität, Irchel.
*All order finite size corrections in Coulomb gases*. [Slides] - October 2011: informal presentation at the workshop "New recursion formulae in Gromov-Witten theory", BIRS, Banff.

*A candidate for a dispersive solution to Hirota equations*. - October 2011: Mathematical Physics seminar, Concordia Univesity, Montréal.

*Integrability and geometry of spectral curves*. - August 2011: Functional Analysis seminar, UCLA Maths Department.

*Analytic combinatorics: counting maps with self-avoiding loops*. - June 2011: chosen talk at the Arbeitstagung, MPI Bonn.

*Loop equations and spectral curves*. [Proceedings] - May 2011: joint seminar with C. Nadal at Spring School "Vicious walkers and random matrices", les Houches.

*All order left-tail asymptotics of Tracy-Widom $\beta$ law*. - December 2010: Strings seminar, Bethe Center for Theoretical Physics, Bonn University.

*Topological strings and matrix models*. [Slides, 5MB] - November 2010: introductory seminar at SGCSC Conference, IHP Paris.

*Introduction to the BKMP conjecture*. [Slides, 5MB] - September 2010: talk at the conference "Random matrix theory and its applications", MSRI, Berkeley.

*Asymptotics of Tracy-Widom $\beta$ law*. [Slides, 5MB] - April 2010: Mathematical Physics seminar, SISSA, Trieste.

*Construction of a dispersive integrable system via geometry of algebraic curves*. - January 2010: young scientists' seminar SINJE, LPT Orsay.

*Algebraic geometry applied to enumeration of self-avoiding loops*. [Slides, 5MB] - November 2009: seminar at IST Lisbon.

*Simple Hurwitz numbers and a proposition of Bouchard and Mariño.*. [Slides, 5MB] - June 2009: joint informal presentation with B.Safnuk at AIM Workshop "Recursion structures in topological strings and enumerative geometry", Palo Alto.

*A matrix model proof of Bouchard-Mariño conjecture*.

Last modified: 19th October 2012