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Events for Functional Analysis

ICS calendar file for Functional Analysis

This file can be used to add scheduled events to your calendar, however every program is unique. Below you will find what information is available, but if nothing else works try creating a new calendar in your program and using

http://math.colorado.edu/seminars/ics/poid.ics

as the source.

Thunderbird

This seminar will focus on various aspects of Functional Analysis. It usually meets on Thursdays at 2:30pm in MATH 350. If you have questions regarding this seminar, please contact Robin Deeley, Carla Farsi, Judith Packer or Alonso Delfin.

Thu, Sep. 11 2:30pm (MATH 3…	Robin Deeley (CU Boulder) X Given a compact metric space and self-homeomorphism, one can construct the associated crossed product C-algebra. There is a strong relationship between dynamical properties and C-algebraic properties. For example, the system is minimal if and only if the crossed product algebra is simple. I will discuss minimal crossed products, their K-theory, K-homology, and Poincare duality. The talk will be an introduction aimed at graduate students. Minimal crossed products and duality
Thu, Sep. 25 2:30pm (MATH 3…	Various X The members of the functional analysis group will give short talks introducing their research. Functional Analysis Open House
Thu, Oct. 2 2:30pm (MATH 3…	Alonso Delfín (CU Boulder) X The main goal of this set of talks is to introduce twisted crossed products of Banach algebras by locally compact groups. Both talks will be accessible to anyone with basic Functional Analysis knowledge, but Part II will assume familiarity with Part I. Classical crossed products of Banach algebras have been extensively studied for different classes of representations, including contractive representations on L^p-spaces. Part I: We give a general formulation for Banach algebras associated with twisted dynamical systems. Recent developments in L^p-twisted crossed products have mostly focused on situations where either the algebra is the complex numbers or when the group is discrete (more generally for étale groupoids). We present a universal characterization of the twisted crossed product when the acting group is locally compact and the Banach algebra has a contractive approximate identity. Part II: We now focus on the case when the representations are contractive ones acting on L^p spaces. We briefly discuss a reduced version for L^p-operator algebras. We present a generalization of the so called Packer–Raeburn trick to the L^p-setting, showing that the universal L^p twisted crossed product is ``stably'' isometrically isomorphic to an untwisted one. This is joint work with Carla Farsi and Judith Packer. Twisted Crossed Products of Banach Algebras (Part I)
Thu, Oct. 9 2:30pm (MATH 3…	Alonso Delfín (CU Boulder) X The main goal of this set of talks is to introduce twisted crossed products of Banach algebras by locally compact groups. Both talks will be accessible to anyone with basic Functional Analysis knowledge, but Part II will assume familiarity with Part I. Classical crossed products of Banach algebras have been extensively studied for different classes of representations, including contractive representations on L^p-spaces. Part I: We give a general formulation for Banach algebras associated with twisted dynamical systems. Recent developments in L^p-twisted crossed products have mostly focused on situations where either the algebra is the complex numbers or when the group is discrete (more generally for étale groupoids). We present a universal characterization of the twisted crossed product when the acting group is locally compact and the Banach algebra has a contractive approximate identity. Part II: We now focus on the case when the representations are contractive ones acting on L^p spaces. We briefly discuss a reduced version for L^p-operator algebras. We present a generalization of the so called Packer–Raeburn trick to the L^p-setting, showing that the universal L^p twisted crossed product is ``stably'' isometrically isomorphic to an untwisted one. This is joint work with Carla Farsi and Judith Packer. Twisted Crossed Products of Banach Algebras (Part II)
Thu, Oct. 16 2:30pm (MATH 3…	Gregory Berkolaiko (Texas A&M) X Duistermaat index is a symplectic invariant defined for triples of Lagrangian subspaces. We discuss its concise axiomatic definition, its relation to the Maslov index of paths of Lagrangian subspaces and its surprising application to eigenvalue interlacing for differential operators with different sets of boundary conditions. Based on joint work with Graham Cox, Yuri Latushkin and Selim Sukhtaiev. Duistermaat index and its application to eigenvalue interlacing
Thu, Oct. 30 2:30pm (MATH 3…	Maggie Reardon (CU Boulder) X Matui’s HK-conjecture proposes a connection between the homology of a nice enough étale groupoid and the -theory of the associated reduced -algebra. The HK-conjecture is not true in general and there are a number of counterexamples. The related AH-conjecture predicts an exact sequence involving the zeroth and first homology groups together with the abelianization of the topological full group. Unlike the HK-conjecture, no counterexamples are known for the AH-conjecture, though it remains unproven. Both conjectures are verified for a number of natural classes of groupoids, including AF groupoids. Putnam introduced a new class of groupoids in the paper titled “Some classifiable groupoid -algebras with prescribed -theory”. These new groupoids are related to AF groupoids and this prompts a natural question: does this new class of groupoids satisfy the HK- and AH-conjectures? The HK- and AH-conjectures for certain groupoids constructed by Putnam
Thu, Nov. 6 2:30pm (MATH 3…	James Woodcock (CU Boulder) X Minimal homeomorphisms of topological spaces provide a source of simple C-algebras whose structure and K-theory can be understood through dynamical systems. I will present results on the existence of minimal homeomorphisms of flat manifolds with positive first Betti number. When the flat manifold has a spin^c structure we will show that the resulting cross product satisfies Poincare Duality for C-algebras. Finally, I will describe ongoing work toward constructing explicit KK-cycle representatives in the presence of minimal flows, in analogy with the classical case of irrational rotation algebras. Flat manifolds, C*-algebras, and duality

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Events for Functional Analysis