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Current Seminars

  1. NAG Seminar: "Dwyer-Kan theorem for model categories"

    Location: SLMath: Eisenbud Auditorium, Online/Virtual
    Speakers: Boris Chorny (University of Haifa--Oranim)

    Zoom Link

    An application of homotopy theoretic methods in non-commutative topology requires the development of the non-standard methods in homotopical algebra, since the category of $C^*$-algebras is very far from the familiar homotopy theories. The homotopy theory of homotopy theories is very useful for the study of the homotopy theory of noncommutative CW-complexes (see, e.g., the construction of the noncommmutative spectra by Arone, Barnea and Schlank). In order to extend these techniques to more general non-commutative spaces we suggest an analog for model categories of the results of Dwyer and Kan (87'), stating (in the modern terms) that a map of relative categories (A,U) -> (B,V) induces a Quillen equivalence of the categories of homotopy functors into simplicial sets iff the induced map between the respective simplicial localisations is an r-equivalence. Motivating example: the Quillen equivalence between the simplicial categories sSet and Top is well studied, but what about the categories of homotopy functors from these model categories to simplicial sets? We will present a framework that will make sense of this question and will provide an affirmative answer.

    Joint work with David White.

    Updated on Apr 09, 2024 11:19 AM PDT

Upcoming Seminars

  1. NAG Noncommutative Projective Schemes Seminar: "Koszul, CY deformations of q-symmetric algebras"

    Location: SLMath: Eisenbud Auditorium, Online/Virtual
    Speakers: Travis Schedler (Imperial College London)

    Zoom Link

    We consider quadratic deformations of the q-symmetric algebras A_q given by x_i x_j = q_{ij} x_j x_i, for a matrix of q's satisfying q_{ij} q_{ji} = 1, in variables x_1, ..., x_n with n odd.  We explicitly describe the Hochschild cohomology and compute the weights of the torus action (dilating the x_i variables). Under a mild condition on q, we describe quadratic deformations which restrict to the universal formal deformations. These are Koszul and Calabi—Yau (hence Artin—Schelter regular).  The deformations are indexed by "smoothing diagrams", a collection of disjoint cycles and segments in the complete graph on n vertices, viewed as the dual complex for the coordinate hyperplanes in P^{n-1}.  Already for n=5 there are 40 of these, most of which define apparently new families of quadratic algebras.  The algebras are obtained by a tensor product of a quadratic filtered deformation for the segment part, and Feigin—Odesskii elliptic algebras for the cycle parts. Our proof also applies to toric log symplectic structures on P^{n-1} (the quasiclassical analogue), recovering a special case of our previous results for general log symplectic varieties with normal crossings divisors, which motivated this project.  This is joint work with Mykola Matviichuk and Brent Pym.

    Updated on Apr 11, 2024 01:07 PM PDT

  4. NAG Colloquium

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Mar 21, 2024 10:39 AM PDT

  12. COMA Colloquium

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Jan 23, 2024 12:50 PM PST

  13. COMA Working Group: Syzygies

    Location: SLMath: Baker Board Room
    Updated on Feb 15, 2024 10:32 AM PST

  15. COMA Seminar

    Location: SLMath: Eisenbud Auditorium, Front Courtyard

    Zoom Link

    Updated on Jan 23, 2024 02:16 PM PST

  19. COMA Seminar

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Mar 14, 2024 02:15 PM PDT

  20. COMA Special Topics

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Mar 14, 2024 02:16 PM PDT

  23. NAG Colloquium

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Mar 21, 2024 10:45 AM PDT

  32. COMA/NAG Joint Lunch Seminar: "Ernst Kunz' idea for classifying numerical semigroups"

    Location: SLMath: Commons Room
    Speakers: David Eisenbud (University of California, Berkeley)

    Zoom Link

    A numerical semigroup S is a cofinite subset of the non-negative integers, containing 0 and closed under addition. They arise as value semigroups of 1-dimensional singularities, as Weierstrass semigroups of points on smooth curves, and the associated semigroup rings form a pleasantly simple family of examples of 1-dimensional domains. 

    The smallest nonzero element is called the multiplicity, m(S). Kunz showed that the numerical semigroups of multiplicity m can be represented as the lattice points in a convex rational cone in QQ^(m-1), now called the Kunz cone; and that many properties of the semigroup ring are determined by the face of the Kunz cone on which the semigroup lies.

    I'll describe the Kunz cone and some of the still-open problems about semigroup rings that might be studied using it.

    Updated on Apr 03, 2024 07:56 AM PDT

  33. COMA Colloquium

    Location: SLMath: Baker Board Room, Online/Virtual

    Zoom Link

    Updated on Jan 23, 2024 12:52 PM PST

  34. COMA Working Group: Syzygies

    Location: SLMath: Baker Board Room
    Updated on Feb 15, 2024 10:34 AM PST

  36. COMA Seminar

    Location: SLMath: Baker Board Room, Online/Virtual

    Zoom Link

    Updated on Jan 23, 2024 02:16 PM PST

  40. COMA Seminar

    Location: SLMath: Online/Virtual, Baker Board Room

    Zoom Link

    Updated on Mar 14, 2024 02:16 PM PDT

  41. COMA Special Topics

    Location: SLMath: Online/Virtual, Baker Board Room

    Zoom Link

    Updated on Mar 14, 2024 02:17 PM PDT

  44. NAG Colloquium

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Mar 21, 2024 10:48 AM PDT

  52. COMA Colloquium

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Jan 23, 2024 12:53 PM PST

  53. COMA Working Group: Syzygies

    Location: SLMath: Baker Board Room
    Updated on Feb 15, 2024 10:36 AM PST

  55. COMA Seminar

    Location: SLMath: Eisenbud Auditorium, Front Courtyard

    Zoom Link

    Updated on Jan 23, 2024 02:16 PM PST

  58. COMA Special Topics

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Created on Mar 14, 2024 02:09 PM PDT

  59. COMA Special Topic

    Location: SLMath: Online/Virtual, Baker Board Room

    Zoom Link

    Updated on Jan 23, 2024 03:10 PM PST

  64. NAG Colloquium

    Location: SLMath: Online/Virtual, Baker Board Room

    Zoom Link

    Updated on Mar 21, 2024 10:50 AM PDT

  68. COMA Colloquium

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Jan 23, 2024 12:54 PM PST

  69. COMA Working Group: Syzygies

    Location: SLMath: Baker Board Room
    Updated on Feb 15, 2024 10:37 AM PST

  71. COMA Seminar

    Location: SLMath: Front Courtyard, Baker Board Room

    Zoom Link

    Updated on Jan 23, 2024 02:16 PM PST

  75. COMA Seminar

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Created on Mar 14, 2024 02:07 PM PDT

  76. COMA Special Topics

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Mar 14, 2024 02:18 PM PDT

  79. NAG Colloquium

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Mar 21, 2024 10:50 AM PDT

  86. COMA Colloquium

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Jan 23, 2024 01:08 PM PST

  87. COMA Working Group: Syzygies

    Location: SLMath: Baker Board Room
    Updated on Feb 15, 2024 10:39 AM PST

  89. COMA Seminar

    Location: SLMath: Eisenbud Auditorium, Front Courtyard

    Zoom Link

    Updated on Jan 23, 2024 02:16 PM PST

  93. COMA Seminar

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Mar 14, 2024 02:18 PM PDT

  94. COMA Special Topics

    Location: SLMath: Eisenbud Auditorium, Online/Virtual

    Zoom Link

    Updated on Mar 14, 2024 02:19 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

There are more then 30 past seminars. Please go to Past seminars to see all past seminars.