Reading Seminar on D-modules (2024S)
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We meet on Tuesdays on Zoom (email arinkin@math.wisc.edu for the link if you need it). The first meeting is on Tuesday, June 25th.
Tentative schedule
| date | speaker | title | topics |
|---|---|---|---|
| June 25 | Josh | Differential operators and filtrations | We'll define the ring of algebraic differential operators
together with its order filtration, and discuss some of its implications for modules over rings of differential operators. |
| July 2 | available | Left and right D-modules. Inverse images. | Examples of D-modules on a line. Quasicoherent D-modules. Left vs. right D-modules: an equivalence. Inverse images of D-modules. Examples (open embeddings, smooth morphisms, closed embeddings). |
| July 9 | available
(This is not explained well in references, so only take this if you are comfortable; otherwise I'll do it. Dima.) |
Direct images. Derived category of D-modules. | `Naive' definition. Definition in the derived category (examples). Time permitting - Kashiwara's Lemma. |
| July 16 | available | Integral transforms. | Tensor product. Integral transforms (=Fourier-Mukai functor). The Fourier-Mukai transform on a line. |