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PRODID:Mathematics Seminar Calendar
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UID:20230322T101604-31531@math.msu.edu
DTSTAMP:20230322T101604Z
SUMMARY:Approximately Finite Dimensional C*-algebras
DESCRIPTION:Speaker\: Lucas Hall, MSU\r\nI’ll tour through the study of finite dimensional C*-algebras and homomorphisms between them, and use this as a basis to define and study approximately finite dimensional (AF) algebras.
LOCATION:C517 Wells Hall
DTSTART:20230130T210000Z
DTEND:20230130T223000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=31531
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UID:20230322T101604-31535@math.msu.edu
DTSTAMP:20230322T101604Z
SUMMARY:Free Stein dimension of crossed products by finite groups
DESCRIPTION:Speaker\: Aldo Garcia Guinto, MSU\r\nIn this talk, we will discuss a free probabilistic quantity called free Stein dimension and compute it for a crossed product by a finite group. The free Stein dimension is the Murray-von Neumann dimension of a particular subspace of derivations. Charlesworth and Nelson defined this quantity in the hope of finding a von Neumann algebra invariant. While it is still not known to be a von Neumann algebra invariant, it is an invariant for finitely generated unital tracial *-algebras and algebraic methods have been more successful than analytic ones in studying it. Our result continues this trend, and reveals a formula for the free Stein dimension of a crossed product by a finite group that is reminiscint of the Schreier formula for a finite index subgroups of free groups.
LOCATION:C517 Wells Hall
DTSTART:20230206T210000Z
DTEND:20230206T223000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=31535
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UID:20230322T101604-32605@math.msu.edu
DTSTAMP:20230322T101604Z
SUMMARY:Combinatorics of free probability
DESCRIPTION:Speaker\: Brent Nelson, MSU\r\nThe lattice of non-crossing partitions plays an important role in the theory of free probability. In particular, it allows one to define the so-called free cumulants, which capture the same information as a non-commutative distribution. In this talk I will provide an introduction to these ideas and show how cumulants offer a characterization of free independence as well as an easy proof of the free central limit theorem.
LOCATION:C517 Wells Hall
DTSTART:20230227T210000Z
DTEND:20230227T223000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=32605
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UID:20230322T101604-32596@math.msu.edu
DTSTAMP:20230322T101604Z
SUMMARY:An Introduction to Coarse Geometry
DESCRIPTION:Speaker\: Matthew Lorentz, MSU\r\nIn analysis we tend to focus on the "small scale" structure of a space. For example, both derivatives and continuity only depend on a very small neighborhood around a point. Coarse geometry on the other hand focuses on the "large scale" structure of a space. Coarse spaces generalize metric spaces in a way that provides an appropriate framework to study large-scale geometry. Coarse geometry is used to study: higher index theory, elliptical operators, the coarse Baum-Connes conjecture and as a consiquence the Novikov conjecture.\r\nIn this talk we will discuss what a coarse structure is, both in terms of metric spaces and in full generality. Then we will look at a few examples. Next, We will introduce uniform Roe algebras and examine their relationship to coarse structures along with recent advances in solving the rigidity problem. Then, time permitting, we will look at uniform Roe modules.
LOCATION:C517 Wells Hall
DTSTART:20230313T200000Z
DTEND:20230313T213000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=32596
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BEGIN:VEVENT
UID:20230322T101604-31546@math.msu.edu
DTSTAMP:20230322T101604Z
SUMMARY:Fullness of von Neumann algebras through free Fisher information
DESCRIPTION:Speaker\: Yoonkyeong Lee, MSU\r\nIn classical probability theory, Fisher information is one of the important concepts. Voiculescu introduced the free probability analogue of this quantity, called free fisher information. In this talk, we will discuss how Free Fisher information helps us to understand a von Neumann algebra.
LOCATION:C517 Wells Hall
DTSTART:20230320T200000Z
DTEND:20230320T213000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=31546
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