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  • 9/18/2019 Colloquium

    A taste of noncommutative convex algebraic geometry

    CMSA 20 Garden Street, Cambridge, MA, United States

    Speaker: Bill Helton (UC San Diego) Title:  A taste of noncommutative convex algebraic geometry Abstract: The last decade has seen the development of a substantial noncommutative (in a free algebra) real and complex algebraic geometry. The aim of the subject is to develop a systematic theory of equations and inequalities for (noncommutative) polynomials or rational functions of matrix variables. […]

  • 9/25/2019 Colloquium

    Double affine Hecke algebras

    CMSA 20 Garden Street, Cambridge, MA, United States

    Speaker: Pavel Etingof (MIT) Title:  Double affine Hecke algebras Abstract: Double affine Hecke algebras (DAHAs) were introduced by I. Cherednik in the early 1990s to prove Macdonald's conjectures. A DAHA is the quotient of the group algebra of the elliptic braid group attached to a root system by Hecke relations. DAHAs and their degenerations are now central objects of representation […]