December 12-28, 2017 / Alexey Glutsyuk / École Normale Supérieure de Lyon
Research interests: dynamical systems, analytic theory of ordinary differential equations, holomorphic foliations, complex geometry, transformation groups, billiards
December 10-14, 2017 / Leon Takhtajan / Stony Brook University, Mathematics Department / [ Website ]
Leon Takhtajan is a Russian mathematical physicist of Armenian descent, currently a professor of mathematics at the Stony Brook University, and a leading researcher at the Euler International Mathematical Institute, Saint Petersburg.
His research is on integrable systems of mathematical physics (such as the theory of solitons) and applications of quantum field theories and models of string theory to algebraic geometry and complex analysis and includes quantum field theories on algebraic curves and associated reciprocity laws, two-dimensional quantum gravity and Weil–Petersson geometry of moduli spaces, the Kähler geometry of universal Teichmuller space, and trace formulas. His major contributions are in theory of classical and quantum integrable systems, quantum groups and Weil–Petersson geometry of moduli spaces. Together with Ludvig Faddeev and Evgeny Sklyanin he formulated the algebraic Bethe Ansatz and quantum inverse scattering method. Together with Ludvig Faddeev and Nicolai Reshetikhin he proposed a method of quantization of Lie groups and algebras, the FRT construction (WikipediA).
“Symplectic geometry of the space of complex projective structures”
December 11 – 19, 2017 / Henning Haahr Andersen
Henning Haahr Andersen is a mathematician specializing in Algebraic groups, Lie algebras, Quantum groups and Representation theory. Andersen received his Ph.D. from the Massachusetts Institute of Technology in 1977 under the supervision of Steven Lawrence Kleiman. In 2012, Andersen became a fellow of the American Mathematical Society (WikipediA)
“Fusion categories and fusion rules”
November 8 – 28, 2017 / Mikhail Khovanov / Columbia University, Mathematics Department / [ Website ]
Professor of Mathematics / Knot Theory, Algebraic Topology
Mikhail Khovanov is a Russian-American professor of mathematics at Columbia University. He graduated from Moscow State School 57 mathematical class in 1988. He earned a PhD in mathematics from Yale University in 1997, where he studied under Igor Frenkel. His interests include knot theory and algebraic topology. He is known for the Khovanov homology for links, introduced in his paper “A categorification of the Jones polynomial”, which he published while at UC Davis. This was one of the first examples of categorification and is quoted in knot theory (WikipediA)
“Introduction to knot homology”
“Categorification of the ring of integers with two inverted”
September 12 – 24, 2017 / Paul Wiegmann / University of Chicago, Department of Physics / [ Website ]
Professor / Theoretical Physics, Condensed Matter Physics
Paul B. Wiegmann is a Russian physicist. He is the Robert W. Reneker Distinguished Service Professor in the Department of Physics at the University of Chicago, James Franck Institute and Enrico Fermi Institute. He specializes in theoretical condensed matter physics. He made pioneering contributions to the field of quantum integrable systems. He found exact solutions of O(3) Non-linear Sigma Model, (Wiegmann 1985), Wess–Zumino–Witten model (together with Alexander Polyakov), Anderson impurity model and Kondo model. (WikipediA)
“Quantization of hydrodynamics of incompressible flow in two dimensions”
September , 2017 / Nikita Nekrasov / Simons Center for Geometry and Physics / [ Website ]
Nikita Nekrasov is a mathematical physicist and string theorist at Stony Brook University in New York. Professor of the Russian Academy of Sciences.
Nekrasov studied at the Moscow State 57th School in 1986–1989. He graduated with honors from Moscow Institute of Physics and Technology in 1995, and joined the theory division of the Institute for Theoretical and Experimental Physics. In parallel, in 1994–1996 Nekrasov did his graduate work at Princeton University, under the supervision of David Gross. His PhD thesis on Four Dimensional Holomorphic Theories was defended in 1996.
In 2013, he moved to the Simons Center for Geometry and Physics at Stony Brook University as a full professor.
“Open-closed (little)string duality and Chern-Simons-Bethe/gauge correspondence”
July 17 – August 8, 2017 / Anton Dzhamay /
University of Northern Colorado, School of Mathematical Sciences / [ Website ]
Professor / Analysis, Algebra, Applied Mathematics
“Geometric analysis of the discrete Painlevé equations”
May 21 – June 9, 2017 / Andrei Negut / MIT, Dep. of Mathematics / [ Website ]
Assistant Professor of Mathematics / Algebraic Geometry, Representation Theory
Andrei Negut’s overall program concentrates on problems in geometric representation theory, an area that overlaps studies in algebraic geometry and representation theory. His results connect to areas in mathematical physics, symplectic geometry, combinatorics and probability theory. His current research focuses on moduli of sheaves, quiver varieties, quantum algebras and knot invariants. Negut received the PhD from Columbia University in 2015, studying under Andrei Okounkov. He completed the Master’s in mathematics from Harvard in 2012, and the B.A. from Princeton in 2009
“W-algebras for surfaces”
May 10 – 24, 2017 / Dennis Gaitsgory / Harward Univ., Dep. of Mathematics / [ Website ]
Dennis Gaitsgory is a professor of mathematics at Harvard University known for his research on the geometric Langlands program. His work in geometric Langlands culminated in a joint 2002 paper with Edward Frenkel and Kari Vilonen, On the geometric Langlands conjecture establishing the conjecture for finite fields, and a separate 2004 paper, On a vanishing conjecture appearing in the geometric Langlands correspondence, generalizing the proof to include the field of complex numbers as well.
Lecture series :
“Quantum geometric Langlands correspondence: twisted Whittaker sheaves vs quantum groups”,
“Vincent Lafforgue’s work on the Automorphic => Galois direction in the Langlands correspondence over function fields”
April 3 – 7, 2017 / Nikolay Gromov / King’s College London, Dep. of Mathematics / [ Website ] /
Nikolay Gromov joined King’s College as a Lecturer in Theoretical Physics in 2010, and was promoted to Reader in 2014.
Nikolay’s research interests include different approaches in non-perturbative Yang-Mills theory. The first approach is devoted to confinement/deconfinement phase transition and is based on classical configurations, generalizing the instantons. Another approach is based on the remarkable duality between the N = 4 super-symmetric generalization of 4D Yang-Mills theory and 10D string theory in the AdS5 x S5 background. Integrability allows one to write down the equations describing exactly the spectrum of these theories and easily reproduce very complicated perturbation theory calculations.
“Integrability in AdS/CFT without supersymmetry”
March 2017 / Vadim Schechtman / Toulouse Mathematics Inst. / [ Website ] /
Vadim Schechtman is a professor of mathematics at University Paul-Sabatier (University of Toulouse III)
“Thom-Sebastiani theorem and E8“,
“On q-deformations of the Toda system”
September 2016 / Hiraku Nakajima / Research Inst. for Mathematical Sciences, Kyoto Univ. / [ Website ] /
Hiraku Nakajima is a professor at Kyoto University. Current area of mathematical interest and research: Representation Theory, Geometry
“Cherkis bow varieties”