| Talk_id | Date | Speaker | Title |
|
31559
|
Tuesday 1/31
3:00 PM
|
Theodore Voronov, University of Manchester
|
From homotopy Lie brackets to thick morphisms of supermanifolds and non-linear functional-algebraic duality (NOTE UNUSUAL DAY)
- Theodore Voronov, University of Manchester
- From homotopy Lie brackets to thick morphisms of supermanifolds and non-linear functional-algebraic duality (NOTE UNUSUAL DAY)
- 01/31/2023
- 3:00 PM - 4:00 PM
- C204A Wells Hall
- Michael Shapiro (mshapiro@msu.edu)
I will give a motivation for homotopy Lie brackets and the corresponding morphisms preserving brackets "up to homotopy" (more precisely, for L-infinity morphisms and L-infinity algebras), and show how to describe them using supergeometry. So, instead of a single Poisson or Lie bracket, there is a whole sequence of operations with n arguments, n=1,2,3,..., satisfying a linked infinite sequence of identities replacing the familiar Jacobi identity for a Lie bracket; and, instead of a morphism as a linear map mapping a bracket to a bracket, there is a sequence of multi-linear mappings mixing brackets with different numbers of arguments, and, in particular, the binary bracket is preserved only up to an (algebraic) homotopy. Geometrically, such a sequence of multi-linear mappings assembles into one non-linear map of supermanifolds.
For the case of homotopy brackets of functions ("higher Poisson" or "homotopy Poisson" structure), this leads us to the question about a natural construction of non-linear mappings between algebras of smooth functions generalizing the usual pull-backs. I discovered such a construction some years ago. These are "thick morphisms" of (super)manifolds generalizing ordinary smooth maps. From a more general perspective, we arrive in this way at a non-linear analog of the classical functional-algebraic duality between spaces and algebras.
|
|
31523
|
Monday 2/13
3:00 PM
|
Keerthi Madapusi Pera, Boston College
|
Derived cycles on Shimura varieties
- Keerthi Madapusi Pera, Boston College
- Derived cycles on Shimura varieties
- 02/13/2023
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Georgios Pappas (pappasg@msu.edu)
I’ll explain how methods from derived algebraic geometry can be applied to give a uniform definition of special cycle classes on integral models of Shimura varieties of Hodge type, verifying some consequences of Kudla’s conjectures on the modularity of generating series of cycles on Shimura varieties of Hermitian type.
|
|
31532
|
Monday 2/27
3:00 PM
|
Michail Savvas, University of Texas
|
TBA
- Michail Savvas, University of Texas
- TBA
- 02/27/2023
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Francois Greer (greerfra@msu.edu)
No abstract available.
|
|
30471
|
Monday 3/13
3:00 PM
|
Ivan Loseu, Yale University
|
TBA
- Ivan Loseu, Yale University
- TBA
- 03/13/2023
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Igor Rapinchuk (rapinchu@msu.edu)
No abstract available.
|
|
31526
|
Monday 3/20
3:00 PM
|
John Sheridan, Princeton University
|
TBA
- John Sheridan, Princeton University
- TBA
- 03/20/2023
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Francois Greer (greerfra@msu.edu)
No abstract available.
|
|
31545
|
Monday 4/17
3:00 PM
|
Olivier Martin, Stony Brook University
|
TBA
- Olivier Martin, Stony Brook University
- TBA
- 04/17/2023
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Francois Greer (greerfra@msu.edu)
No abstract available.
|
|
31505
|
Friday 4/21
3:00 PM
|
Jaclyn Lang, Temple
|
TBA (note unusual day)
- Jaclyn Lang, Temple
- TBA (note unusual day)
- 04/21/2023
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Preston Wake (wakepres@msu.edu)
No abstract available.
|
|
29398
|
Monday 4/24
3:00 PM
|
Ján Mináč, University of Western Ontario
|
TBA
- Ján Mináč, University of Western Ontario
- TBA
- 04/24/2023
- 3:00 PM - 4:00 PM
- Online (virtual meeting)
- Preston Wake (wakepres@msu.edu)
No abstract available.
|
