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Current Seminars

  1. Fellowship of the Ring, National Seminar: The homotopy Lie algebra and the conormal module

    Location: MSRI: Online/Virtual
    Speakers: Benjamin Briggs (University of Utah)

    To attend this seminar, you must register in advance, by clicking HERE.

    I will do my best to explain what goes in to proving the following theorem: if I is an ideal of finite projective dimension in a local ring R, and the conormal module I/I^2 has finite projective dimension over R/I, then I is generated by a regular sequence. This was conjectured by Vasconcelos, after he and (separately) Ferrand established the case that the conormal module is free.

    The key tool is the homotopy Lie algebra. This is a graded Lie algebra naturally associated with any local homomorphism. It sits at the centre of a longstanding friendship between commutative algebra and rational homotopy theory, through which ideas and results have been passed back and forth for decades.

    I'll go through the construction of the homotopy Lie algebra and how it's been used in commutative algebra in the past, before explaining how its structure detects when the conormal module has finite projective dimension. I'll also talk about ongoing work with Srikanth Iyengar comparing the cotangent complex with the homotopy Lie algebra.

    Updated on Jul 21, 2020 07:41 AM PDT

Upcoming Seminars

  1. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Speakers: Martin Davis (New York University, Courant Institute)
    Created on Aug 05, 2020 03:56 PM PDT
  2. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Speakers: Julia Knight (University of Notre Dame)
    Created on Aug 05, 2020 03:57 PM PDT
  3. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Speakers: Alice Medvedev (City College, CUNY)
    Created on Aug 05, 2020 03:56 PM PDT
  4. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:57 PM PDT
  5. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:56 PM PDT
  6. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Speakers: Barry Mazur (Harvard University)
    Created on Aug 05, 2020 03:57 PM PDT
  7. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:56 PM PDT
  8. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:57 PM PDT
  9. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:56 PM PDT
  10. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:57 PM PDT
  11. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:56 PM PDT
  12. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Speakers: Jose Felipe Voloch (University of Texas, Austin)
    Created on Aug 05, 2020 03:57 PM PDT
  13. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:56 PM PDT
  14. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:57 PM PDT
  15. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:56 PM PDT
  16. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:57 PM PDT
  17. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:56 PM PDT
  18. DDC Online Seminar

    Location: MSRI: Online/Virtual
    Created on Aug 05, 2020 03:57 PM PDT
No upcoming events under African Diaspora Joint Mathematics Workshop

Past Seminars

  1. Seminar Fellowship of the Ring, National Seminar: Commutative Algebra with S_n-invariant monomial ideals

    To attend this seminar, you must register in advance, by clicking HERE.

    Consider a polynomial ring in n variables, together with the action of the symmetric group by coordinate permutations. In my talk I will describe many familiar notions in Commutative Algebra in the context of monomial ideals that are preserved by the action of the symmetric group. These include Castelnuovo-Mumford regularity, projective dimension, saturation, symbolic powers, or the Cohen-Macaulay property. My goal is to explain how changing focus from minimal resolutions to Ext modules can lead to a simplified picture of the homological algebra, and to provide concrete combinatorial recipes to determine the relevant homological invariants.

    Updated on May 01, 2020 12:25 PM PDT
There are more then 30 past seminars. Please go to Past seminars to see all past seminars.