Noncommutative Hodge structures seminar page

Organized by Tobias Dyckerhoff and myself.
Bonn, Spring 2016. We meet on Wednesdays 10:15-12:00 at MI, N 0.007 - Neubau.

Descriptive of the seminar (with wrong dates): pdf.

Some references are suggested for each talk, and here are some other references which can be useful:

Katzarkov-Kontsevich-Pantev: Hodge theoretic aspects of Mirror Symmetry.
Kaledin: Motivic structures in Noncommutative Geometry.
Kaledin: Non-commutative Hodge-to-de Rham degeneration via the method of Deligne-Illusie
Halpern-Leistner—Pomerleano: Equivariant Hodge theory and noncommutative geometry.


Th. 04.14
Organizational meeting.

Wed. 04.20
Speaker: Anthony.
On: Degeneration of the Hodge to de Rham spectral sequence via reduction to positive characteristic for schemes.
References:
Deligne—Illusie: Revêtements modulo p^2 et décomposition du complexe de de Rham.

Wed. 04.27
Speaker: Walker.
On: Hochschild-Kostant-Rosenberg theorem for affine schemes.
References:
Loday: Cyclic Homology, Springer.

Wed. 05.04
Speaker: Michael.
On: Hochschild-Kostant-Rosenberg theorem for schemes.
References:
Weibel: Cyclic homology for schemes.
Keller: On the cyclic homology of exact categories.

Wed. 05.11
Speaker: Gustavo.
On: Homotopy theory of dg-categories. Periodic cyclic homology.
References:
Toën: Lectures on dg-categories.
Tabuada: A Quillen model structure on the category of dg-categories.
Keller: On differential graded categories.
Kaledin: Spectral sequences for Cyclic Homology.


No seminar on Wed. 05.18 and 05.25


Wed. 06.01
Speaker: Anthony.
On:
-Reminders on the reduction to char p method for schemes
-Ring of definition of smooth proper dg-algebras
References:
Illusie: Frobenius and Hodge degenerescence in Introduction to Hodge theory, SMF/AMF texts and monographs volume 8.
Toën: Anneaux de définition des dg-algèbres propres et lisses.


Wed. 06.08
Speaker: Toby.
On: Decomposition of the de Rham complex in char p.
References:
Illusie: Frobenius and Hodge degenerescence in Introduction to Hodge theory, SMF/AMF texts and monographs volume 8.


Wed. 06.15
Speaker: Toby.
On: The noncommutative Cartier map I.


Wed. 06.22
Speaker: Toby.
On: The noncommutative Cartier map II.


Wed. 06.29
Speaker: Thomas.
On: The noncommutative Cartier map III.


Wed. 07.06
Speaker: Thomas.
On: The noncommutative Cartier map IV.


Wed. 07.13
Speaker: Thomas.
On: The noncommutative Cartier map V.


Wed. 07.20
Speaker: Toby.
On: Noncommutative Hodge-to-de-Rham degeneration.