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Current Seminars

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Upcoming Seminars

  1. COMA Special Topic: Mixed characteristic analogues of F-injective and Du Bois singularities"

    Location: SLMath: Online/Virtual, Eisenbud Auditorium
    Speakers: Joseph Waldron (Michigan State University)

    Zoom Link

    Singularities are measured in different ways in characteristic zero, positive characteristic, and mixed characteristic. However, the classes of singularities usually form analogous groups with similar properties, with an example of such a group being klt, strongly F-regular and BCM-regular.  In this talk we shall focus on a mixed characteristic counterpart of F-injective and Du Bois singularities.  We will see that the three have a unified description and satisfy many expected properties.

    Updated on May 15, 2024 12:37 PM PDT
  2. "COMA Working Group: ""A second look at parasolid closure"" "

    Location: SLMath: Baker Board Room
    Speakers: Holger Brenner (Universität Osnabrück)

    We recall the definition of parasolid closure, which is a closure operation for all noetherian rings, the parasolid algebras (which are the 'allowed covers') and the test ideals deriving from this approach. In an open discussion, we would like to understand how these test ideals (and the concept of a pararegular ring) is related to similar notions defined with the help of big Cohen-Macaulay algebras, resolutions and alterations.

    Updated on May 17, 2024 11:51 AM PDT
  3. COMA Colloquium: "Towards an analogue of F-signature functions in mixed characteristic"

    Location: SLMath: Eisenbud Auditorium, Online/Virtual
    Speakers: Kevin Tucker (University of Illinois at Chicago)

    Zoom Link

    In positive characteristic, the F-signature can be viewed as a quantitative measure of F-regularity – an important class of singularities central to the celebrated theory of tight closure pioneered by Hochster and Huneke, and closely related to
    Kawamata Log Terminal (KLT) singularities via standard reduction techniques from characteristic zero. The definition can also be extended to divisor (or hypersurface) pairs, and the resulting F-signature functions given by scaling enjoy a number of nice properties such as convexity. In this talk, I will give an overview of some of the positive characteristic theory, and detail recent progress in developing an analogue in the mixed characteristic setting. Based in part on joint work with Hanlin Cai, Seungsu Lee, Linquan Ma, and Karl Schwede, this involves leveraging the perfectoidization functor of Bhatt-Scholze to define the perfectoid signature. In addition, I will mention joint work in progress with a subset of the same authors to extend this definition to pairs and show properties of the resulting perfectoid signature functions given by scaling.

    Updated on May 16, 2024 08:18 AM PDT
  4. COMA Seminar: "Methods to Extend the Classical Multiplicities to General Ideals"

    Location: SLMath: Eisenbud Auditorium, Front Courtyard
    Speakers: Yu Xie (Widener University)

    Zoom Link

    In this talk, I will discuss two methods: the 0th local cohomology and the bigraded algebra, that are used to extend the classical multiplicities such as the Hilbert-Samuel multiplicity, the Hilber-Kunz multiplicity, the mixed multiplicity from 0-dimensional ideals to general ideals.

    Updated on May 16, 2024 01:58 PM PDT
  1. ADJOINT 2024

    ADJOINT is a yearlong program that provides opportunities for U.S. mathematicians – especially those from the African Diaspora – to conduct collaborative research on topics at the forefront of mathematical and statistical research. Participants will spend two weeks taking part in an intensive collaborative summer session at SLMath (formerly MSRI). The two-week summer session for ADJOINT 2024 will take place June 24 to July 5, 2024 in Berkeley, California. Researchers can participate in either of the following ways: (1) joining ADJOINT small groups under the guidance of some of the nation's foremost mathematicians and statisticians to expand their research portfolio into new areas, or (2) applying to Self-ADJOINT as part of an existing or newly-formed independent research group to work on a new or established research project. Throughout the following academic year, the program provides conference and travel support to increase opportunities for collaboration, maximize researcher visibility, and engender a sense of community among participants. 

    Updated on Apr 10, 2024 10:50 AM PDT

Past Seminars

  1. Seminar COMA Seminar

    Updated on Mar 14, 2024 02:16 PM PDT
There are more then 30 past seminars. Please go to Past seminars to see all past seminars.