The Illinois Graduate Seminar in Algebraic Combinatorics is a student-run seminar for graduate students and advanced undergraduates interested in algebraic combinatorics and related areas.
The seminar focuses on expository and educational talks, with occasional presentations on recent research and ongoing work. It also provides participants with opportunities to learn new mathematics and practice mathematical exposition.
Advanced undergraduates and beginning graduate students are especially welcome.
Meeting time: Monday 4PM-5PM
Location: Loomis 136
SPEAKERS AND TITLES:
September 14 — Jaewon Min: What are Lie types?
Abstract: Reflection groups, Lie groups, Lie algebras and flag varieties share a common combinatorial classification, known as Lie types. Together, these objects constitute an important part of Lie theory. In this talk, we explore the relationships among them.
September 28 — Duy Phan: An Introduction to Schubert Calculus
Abstract: How many lines in P^3 meet four general lines? Starting from this classical question, we introduce Schubert calculus and explain how geometric counting problems become intersection computations on Grassmannians. Through concrete examples, we explore connections with Young tableaux, Schur functions, and the Littlewood–Richardson rule. No prior knowledge of Schubert calculus is assumed.
October 12 — TBA
Abstract: TBA
October 26 — TBA
Abstract: TBA
November 9 — TBA
Abstract: TBA
November 16 — TBA
Abstract: TBA
December 7 — TBA
Abstract: TBA
Jaewon Min (email: jaewonm2@illinois.edu)
Duy Phan (email: duyphan2@illinois.edu)