Schedule

Day 1: 5th December (Tuesday)

Time	Speaker	Topic	Ref
13:30-14:30	Anson Law	Basics of Quiver Varieties Show/hide abstract We will introduce the basic definition of quiver varities, and include some basics examples: flag varities arising from Dynkin Diagram.	[Gin98]
14:45-15:45	Omega Tong	Basics of Qunatum Group Show/hide abstract We will introduce the basic definition of quantum group.	[ES03, ET20]
16:00-17:00	Eddie Lam	Basics of Quasimaps Show/hide abstract In this talk, we will introduce the notion of quasimaps and basic properties, and give examples in the case of toric varieties and flag varieties.	[CKM11, Kim10, Oko04]

Day 2: 6th December (Wednesday)

Time	Speaker	Topic	Ref
13:00-14:00	Anson Law	Quiver Varieties Show/hide abstract We will introduce the basic definition of quiver varities, and include some basics examples: flag varities arising from Dynkin Diagram.	[Gin98]
14:30-15:30	Break
15:45-16:45	Omega Tong	Quantum Group Show/hide abstract We will introduce the basic definition of quantum group.	[ES03, ET20]

Day 3: 8th December (Friday)

Time	Speaker	Topic	Ref
13:00-14:00	Eddie Lam	Quasimaps for hypertoric varieties Show/hide abstract We will work out some computations of quasimaps in the hypertoric case.	[CKM11, Kim10, Oko04]
14:15-15:15	Ki Fung Chan	Equivalent k Theory and Chern Character Map Show/hide abstract We will introduce the basic definition of quantum group.	[]
15:30-16:30	Michael McBREEN	Quantum Groups and Quantum Cohomology Show/hide abstract I will sketch how the work of Maulik and Okounkov relates quasimaps into quiver varieties and quantum groups, and what this has to do with the AGT conjecture relating gauge theory in four dimensions with 2D conformal field theory. Warning: this will be a rapid survey, so if you want details, have a look at the references below (especially the lecture notes by Okounkov).	[MO12, Oko04]

References

• [CKM11] Ciocan-Fontanine I, Kim B, Maulik D. Stable quasimaps to GIT quotient. arXiv preprint arXiv:1106.3724 [math.AG]. 2011.
• [ES03] Etingof P, Schiffmann O. Lectures on Quantum Groups. ISBN 1-57146-063-2. International Press.
• [ET20] Etingof P, Semenyakin M. A Brief Introduction to Quantum Groups. arXiv preprint arXiv:2106.05252 2020.
• [Gin98] Ginzburg V. Lectures on Nakajima's Quiver Varieties. arXiv preprint arXiv:math/9802004. 1998.
• [Kim10] Kim B. Stable quasimaps to holomorphic symplectic quotients. arXiv preprint arXiv:1005.4125 [math.AG]. 2010.
• [MO12] Maulik D, Okounkov A. Quantum Groups and Quantum Cohomology. arXiv preprint arXiv:1211.1287. 2012.
• [Oko04] Okounkov A. Lectures on K-theoretic computations in enumerative geometry. arXiv preprint arXiv:0405173. 2004.

Current Seminar

• Quiver Varieties and Stable Envelopes (Fall 2024 - Spring 2025)

Archived

• Supersymmetric Gauge Theory (Fall 2023 - Spring 2024)