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Monday, November 18, 2019
4:00 PM - 5:00 PM
Linde Hall 387

Algebra and Geometry Seminar

Skein theory, Hecke algebras, and elliptic curves
Peter Samuelson, Department of Mathematics, UC Riverside,

Skein theory can be viewed as a machine for producing algebras from surfaces and modules from 3-manifolds. We present the "type A" skein algebra of the torus, and show it is the t=q specialization of an algebra known as (1) the Hall algebra of coherent sheaves over an elliptic curve, (2) the limit of gl_n spherical double affine Hecke algebras. We then present the "type BCD" skein algebra of the torus -- in this case it is not clear what the analogue of (1) or (2) are. (Joint work with Morton and Pokorny.)

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.