2026 Fall MATH 274 002 LEC 002

2026 Fall

MATH 274 002 - LEC 002

Topics in Algebra

Yangians and geometric representation theory

Aug 26, 2026 - Dec 11, 2026
Tu, Th
02:00 pm - 03:29 pm
Class #:33439
Units: 4

Instruction Mode: In-Person Instruction

Offered through Mathematics

Current Enrollment

Total Open Seats: 18
Enrolled: 12
Waitlisted: 0
Capacity: 30
Waitlist Max: 5
No Reserved Seats

Hours & Workload

9 hours of outside work hours per week, and 3 hours of instructor presentation of course materials per week.

Course Catalog Description

Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars.

Class Description

In this course we will approach the theory of Yangians — quantum groups associated with loop algebras — via geometric representation theory. Key topics and constructions will include: Quantum loop groups, Nakajima quiver varieties, symplectic resolutions, RTT formalism, R matrices, BBDG decomposition theorem, cohomological Hall algebras and Borcherds algebras.

Rules & Requirements

Repeat Rules

Reserved Seats

Reserved Seating For This Term

Current Enrollment

No Reserved Seats

Textbooks & Materials

See class syllabus or https://calstudentstore.berkeley.edu/textbooks for the most current information.

Textbook Lookup

Guide to Open, Free, & Affordable Course Materials

eTextbooks

Associated Sections

None