STATED SKEIN ALGEBRAS AND A GEOMETRIC APPROACH TO QUANTUM GROUPS

Speaker(s)

ADAM SIKORA

Affiliation

SUNY Buffalo

Date

Dec. 15, 2021, 5:15 p.m.

Information about the event

ZOOM

Seminar

North Atlantic Noncommutative Geometry Seminar

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We introduce the theory of stated SL(n)-skein algebras of surfaces, which provide a geometric/combinatorial interpretation for the quantum groups Oq(sl(n)) and other related notions from quantum algebra. They also quantize the SL(n)-character varieties of surfaces, are examples of quantum cluster algebras, and are closely related to Reshetikhin-Turaev quantum invariants of links, factorization homology, and lattice gauge theory.

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