**MAT 290-015: Seminars on Quantum Curves**

Spring Quarter 2013. CRN = #49084

Fridays 4:10 PM - 6:00 PM

3106 MSB

Organizer: Motohico Mulase

The idea of quantum curves appear in a paper of Aganagic-Dijkgraaf-Klemm-Mariño-Vafa (2006), and has been further developed by Dijkgraaf-Vafa, Dijkgraaf-Hollands-Sułkowski, Gukov-Sułkowski, and others. In a different language, a similar notion appears in the work of topologist Garoufalidis. In my recent papers with collaborators (Bouchard, Hernández-Serrano, Liu, Shadrin, Spitz, Sułkowski, and others), we have given several mathematically rigorous examples. This seminar aims at establishing mathematical understanding of this notion.

**
April 12. Motohico Mulase:
**
"Introduction to Quantum Curves."

** April 19.
Axel Saenz-Rodriguez:** "Quantization of
A-Polynomials in Knot Theory."

** April 26.
Albert Schwarz:** "Constructing
quantum curves from the
string equation and infinite Grassmannians."

** May 3. We join the special colloquium
at 1147 MSB by
S.T. YAU:** "The shape of the inner space."
What he means by the *Inner Space* is
what we call the
Calabi-Yau space.

** May 10. No seminar this week.
**

** May 17.
Xiaojun Liu:** "Quantum curves for the
p-q minimal models, after
Liu-Schwarz."

** May 24.
Olivia Dumitrescu:** "The Euler characteristic
and the Gromov-Witten invariants, after
Pandharipande."

**May 31.
Eric Samperton:** "Higher Teichmüller theory, after Fock-Goncharov."