# Geometric Representation Theory, 2016 - 2017

Research seminar in geometric representation theory, symplectic geometry, mathematical physics, Gromov-Witten theory, integrable systems

**Location:** MIT, 2-449

**Time:** Wednesday 5:15-6:15

**Contact:** Andrei NeguČ›

May 17:

** Pavel Etingof ** (MIT),

* Cyclotomic Double affine Hecke algebras *

May 10:

** Alexander Tsymbaliuk ** (Simons Center),

* Shifted affine quantum groups and shifted Yangians *

May 3:

** Daniel Halpern-Leistner ** (Columbia),

* Equivariant geometry and Calabi-Yau manifolds *, Note special time 5:30-6:30

Apr 26:

** Fabian Haiden ** (Harvard),

* Semistability, modular lattices, and iterated logarithms*, Note special time 5:30-6:30

Apr 19:

** Valerio Toledano Laredo ** (Northeastern),

* Quasi-Coxeter categories, the Casimir connection and quantum Weyl groups *

Apr 12:

** Alexei Oblomkov ** (UMass Amherst),

* HOMFLY-PT cohomology of torus links as sheaf homology *

Apr 5:

** Georg Oberdieck ** (MIT),

* The Igusa cusp form conjecture *

Mar 22:

** Arkady Berenstein ** (University of Oregon),

* Generalized RSK *

Mar 15:

** Xiaomeng Xu ** (MIT),

* Stokes phenomenon, Gelfand-Zeitlin systems and quantum groups *

Mar 8:

** Aaron Pixton ** (MIT),

* Cycle-quasimodularity of elliptic curve invariants *

Mar 1:

** Tony Yue Yu ** (Universite Paris Sud),

* Counting open curves via Berkovich geometry *

Feb 22:

** Ivan Loseu ** (Northeastern),

* Moduli spaces of instantons in Representation theory *

Feb 14:

** Anton Mellit ** (IST Austria),

* Toric stratifications of character varieties*, Note special day: Tuesday

Feb 8:

** Michael McBreen ** (MIT),

* P=W for nodal curves *

Dec 7:

** Tristan Bozec ** (MIT),

* The global nilpotent cone of a curve of arbitrary genus *

Nov 30:

** Changjian Su ** (Columbia),

* Quantum cohomology of cotangent bundle of G/P *

Nov 23:

** Eric Rains ** (Caltech),

* Discrete integrable systems from noncommutative projective surfaces *

Nov 16:

** Gus Schrader ** (UC Berkeley),

* Quantum groups from character varieties *

Nov 9:

** Ivan Loseu ** (Northeastern),

* Wall crossing for quantized quiver varieties *

Nov 2:

** Sam Raskin ** (MIT),

* W-algebras and Whittaker categories*, Note special time 5:00-6:30

Oct 26:

** Andrei NeguČ› ** (MIT),

* q-W-algebras and the q-AGT-W relations via shuffle algebras*, Note special time 5:30-6:30

Oct 19:

** Ivan Cherednik ** (UNC Chapel Hill),

* DAHA and unibranch plane curve singularities II *
Note: part I of the talk will take place in the

Lie groups seminar on the same day, 4-5

Oct 5:

** Ivan Danilenko ** (Columbia),

* DAHA and iterated torus links *

Sep 28:

** Ben Davison ** (IST Austria),

* Positivity for quantum cluster algebras *

Sep 21:

** Yukinobu Toda ** (MIT, IPMU),

*Gopakumar-Vafa invariants via perverse sheaves *

Sep 14:

** Eugene Gorsky ** (UC Davis),

* Khovanov-Rozansky homology and the flag Hilbert scheme *