Algebraic Geometry Algebra/Logic DeLong Diversity Functional Analysis Geometry/Analysis Grad Algebra/Logic Init Conditions Kempner Lie Theory MathClub Math Phys Noncomm Geometry Number Theory Probability Rep Theory Grad Student Seminar Thesis Defenses Topology Ulam Math Edu

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, Aug. 22 2:30pm (MATH 2…	Tomasz Maszczyk (University of Warsaw) X Under the technical condition of separability of some topological space of cohomology, we show that the Godbillon-Vey number of a foliation of codimension one on a compact orientable 3-fold is topologically rigid if and only if the foliation admits a projective transversal structure. Here by the rigidity of the Godbillon-Vey number we mean that it is constant under the infinitesimal singular deformations of the foliation, and a foliation admits a transversal projective structure whenever it can be glued from the level sets of locally defined functions related by fractional linear transition maps. Title: Foliations with rigid Godbillon-Vey class
Thu, Aug. 29 2:30pm (Math 3…	PIOTR M. HAJAC (IMPAN, Warsaw, Poland) X In 2006, Katsura discovered optimal conditions for morphisms of topological graphs to contravariantly induce morphisms between their C-algebras. We use these morphisms in the special case of discrete topology (usual directed graphs) to extend the well studied theory of unions of graphs to one-injective pushouts of graphs. Our main result is a pushout-to-pullback theorem that yields a one-surjective gauge equivariant pullback of graphs C-algebras, which suits the Mayer-Vietoris six-term exact sequence in K-theory and applications to noncommutative topology. To exemplify our theorem, first we vastly generalize the old concept of a derived graph to obtain locally derived graphs. Then we use locally derived graphs, which provide us with a very rich class of non-injective graph homomorphisms satisfying Katsura's conditions, to construct pushouts satisfying the assumptions of our pushout-to-pullback theorem. (Based on joint work with Mariusz Tobolski.) LOCALLY DERIVED GRAPHS AND GAUGE EQUIVARIANT PULLBACKS OF GRAPH C*-ALGEBRAS
Thu, Sep. 5 2:30pm (MATH 3…	Andrzej Sitarz (Jagiellonian University, Poland) X I will review the construction of spectral functionals for finitely summable spectral triples, which in the classical, commutative case, provide metric, Einstein and torsion tensors. Further, I will discuss examples of these functionals over several well-known spectral triples, including spin manifolds, Hodge-de Rham, Einstein-Yang-Mills, almost-commutative two-sheeted space, conformally rescaled noncommutative tori, and the quantum SU(2) group. Based on a series of joint papers with Ludwik Dabrowski and Pawel Zalecki. Spectral Functionals
Thu, Sep. 12 2:30pm (MATH 3…	Robin Deeley (CU Boulder) X I will introduce some of the basic ideas involved in the Baum-Connes conjecture. Also, this will be an organizational meeting where we plan the other talks on this subject. We will be following https://arxiv.org/abs/1703.10912. The Baum-Connes conjecture
Thu, Sep. 19 2:30pm (MATH 3…	Frederic Latremoliere (Denver University) X ABSTRACT: The spectral propinquity is a distance over the class of metric spectral triples, up to unitary equivalence. It is constructed as a special form of the propinquity between compact quantum metric spaces, itself rooted in the work on the Gromov-Hausdorff distance and its noncommutative analogues, in the more general framework of Rieffel's work in noncommutative metric geometry. In this talk, we wish to present the spectral propinquity and discuss various properties and examples of convergence in the sense of this metric: for instance, we will discuss how the spectrum of Dirac operators is continuous with respect to the spectral propinquity, and how various spectral triples on quantum tori, quantum solenoids, and Bunce-Deddens algebras are limits of other spectral triples. The spectral propinquity
Thu, Sep. 26 2:30pm (MATH 3…	Alonso Delfín (CU Boulder) An introduction to Hilbert C*-modules
Thu, Oct. 3 2:30pm (MATH 3…	Darwin Tallana (CU Boulder) Unbounded operators and the Dirac operator on the circle
Thu, Oct. 10 2:30pm (MATH 3…	Levi Lorenzo (CU Boulder) K-theory for C*-algebras
Thu, Oct. 17 2:30pm (MATH 3…	James Woodcock (CU Boulder) KK-theory part 1
Thu, Oct. 24 2:30pm (Zoom)	A. Sitarz (Moved to Zoom) (Jagiellonian University, Poland) View Online:https://cuboulder.zoom.us/j/92986030547 Meeting ID: 929 8603 0547 X Carla Farsi is inviting you to a scheduled Zoom meeting. Join Zoom Meeting https://cuboulder.zoom.us/j/92986030547 Meeting ID: 929 8603 0547 Starting from the classical situation and the abstract algebraic approach, we propose an operatorial definition for a connection and compatibility between the connection and the Dirac operator on the total space and on the base space of the bundle. An example of the noncommutative three-torus viewed as a U(1) bundle over the noncommutative two-torus gives all connections compatible with an admissible Dirac operator. Conversely, a family of new Dirac operators on the noncommutative tori is found, which arise from the base-space Dirac operator and a suitable connection. Based on a joint work with Ludwik Dabrowski. Noncommutative circle bundles and new Dirac operators
Thu, Nov. 14 2:30pm (MATH 3…	Karen Strung (Institute of Mathematics of the Czech Academy of Sciences) X One of the most dramatic recent advances in operator algebras is the classification of separable, unital, simple, nuclear C-algebras which are Jiang–Su stable and satisfy the UCT. With this abstract classification theorem in hand, we are left with questions about which ”naturally occurring” C-algebras are covered by the theorem. By “naturally occurring” I mean operator algebraic models of various mathematical structures. These have long played an important role, as they allow one to use a well-stocked toolkit consisting of both algebraic and analytic equipment to study such various mathematical objects. An example of this is the relationship between topological dynamical systems and C-algebras. In this talk I will discuss examples of classifiable C-algebras given by various constructions arising from topological dynamical systems. Classifiable C*-algebras from topological dynamics Sponsored by the Simons Foundation
Tue, Dec. 3 1:15pm (Math 3…	Peter Haskell (Virginia Tech University) View Online:Zoom link to follow X Jeff Fox and I met in 1983. We were intrigued by Kasparov's elegant and powerful bivariant K-theory, and we dared hope it would allow us to use Jeff's background in representation theory and mine in topology to prove cases of the Baum-Connes and Connes-Kasparov conjectures. The depth of the challenges posed by those conjectures was greater than we first imagined, but, largely due to Jeff's knowledge of representation theory, we did make a contribution to the area. We also proved some representation-multiplicity index theorems for transversally elliptic operators. These results illustrated K-theory's ability to extract representation-theoretic integer-valued invariants from group C*-algebras. Other work we did involved index theory for singular spaces, pushing inspiration from Riemann-Roch theorems in directions that involved enough analysis to suggest roles for spectral invariants. I learned much mathematics and much about how to do mathematics from Jeff. Working with him, I got to know one of the kindest, most generous people I have ever met. My collaboration with Jeff Fox: Mathematical and personal connections formed as products of Kasparov's bivariant K-theory
Thu, Dec. 5 2:30pm (MATH 3…	Levi Lorenzo and Maggie Reardon (CU Boulder) X There will be two 25-minute talks. Abstract (Levi Lorenzo): K-theory is the generalized cohomology theory that has proven incredibly effective at classifying C- algebras. In this talk, we discuss its dual homology theory, K-homology. K-homology and K-theory admit a bilinear pairing to the integers, called the index pairing, which allows one to learn about K-theory using K-homology and vice versa. In general, this pairing is very difficult to compute; however, if a Calgebra admits a dense subalgebra on which its K-homology is finitely summable, Connes has equipped us with a more computable formula. Given a smooth manifold, M, of dimension n, the K-homology of is finitely summable on for In this way, the summability also sees the dimension of the manifold. It is natural to ask whether similar results hold in the noncommutative setting. Towards this end, Connes showed that the irrational rotation algebras have uniformly summable K-homology. The irrational rotation algebras are examples of crossed product algebras arising from minimal actions on a topological space. In my work, I study other noncommutative algebras and ask the same question. For example, we make the space a Cantor Set and examine the K-homology of crossed products arising from minimal actions on it. In this talk, we discuss progress in such directions. Abstract (Maggie Reardon): Matui’s HK-conjecture proposes a relationship between the homology groups of a nice enough groupoid and the $K$ -theory of the associated reduced $C$ -algebra. The conjecture is not true in general and there are a number of counterexamples. However, the conjecture holds for certain classes of groupoids including AF groupoids. Putnam introduced a new class of groupoids in the paper titled “Some classifiable groupoid $C$ -algebras with prescribed $K$ -theory”. These new groupoids are related to AF groupoids and this prompts a natural question: does this new class of groupoids satisfy the HK-conjecture? Finitely Summable K-homology and the HK-conjecture for certain groupoids constructed by Putnam

Main menu

Search

Other ways to search:

Events for Functional Analysis