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”

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

Seminar :
“W-algebras for surfaces”

Enrico Arbarello / Univ. of Rome “La Sapienza”, Dep. of Mathematics / [ Website ]

Enrico Arbarello is an Italian mathematician who is a leading expert in algebraic geometry.
He earned a Ph.D. at Columbia University in New York in 1973. He was a visiting scholar at the Institute for Advanced Study from 1993-94. He is now a Mathematics Professor at the University “La Sapienza” in Rome.
Research Interests: Algebraic curves and their moduli, geometry and topology of moduli spaces. Geometrical aspects of the theory of non-linear differential equations of KdV type. Moduli of curves and sheaves on K3 surfaces.

Lecture series :
“Hyperplane sections of K3 surfaces”,
“Du Val curves”