Preliminary website for the Tuesday’s Reading seminar.

**Room & Dates**

- 30.9/7.10: G 19.2, 3pm
- Tuesdays 14.10++ : G 19.2, 10.15-12 am

**Program**

Sep 23. Plan to confirm dates and outline material (Andrew).

Oct 7. Behrends microlocal function (Georg)

-Behrend’s function: relation to virtual fundamental class and Milnor fiber.

math/0507523

math/0512556

Oct. 7. BPS numbers (Junliang).

-Using Behrend’s function: BPS counts in the irreducible case.

arXiv:0711.3899

Next: Motivic Milnor fibers (2-3 Lectures).

math/0006050

math/0006220

arXiv:0901.4225

-Introduce, ring of motives, motivic measure, motivic Milnor fiber.

-Maybe proof, motivic crepant resolution conjecture?

-Maybe some p-adic stuff + conjectures?

Oct. 14. (Christoph)

– p-adic Integration

– Definition Haar measure

– Igusa’s local zeta function

– rationality and conjectures

Oct. 21. (Johannes)

– Motivic Integration

– Definition of ring of motives and motivic measure

Oct. 28. (Qizheng)

– Motivic Milnor fiber

– mu-equiv. motives and motivic zeta function

Nov. 4. (Jakob)

Degree zero Motivic DT invariants: Hilbert scheme of points.

arXiv:0909.5088

Nov 11. Break.

Nov. 18. Derived critical loci (Emily)

-Derived critical locus with orientation data (X,s,K^{1/2}) to get virtual motive MF_{X,s}^\phi.

arXiv:1304.4508

Nov. 25. Motivic vanishing cycles (Felix)

arXiv:1305.6428

Dec. 2. K3 surfaces and the KKP conjecture (Georg)

arXiv:1407.3181

Dec. 9. Motivic nearby cycles and categories of mixed motives (Simon)

Ivorra, Sebag, Nearby motives and motivic nearby cycles

Dec. 16. Motivic invariants of the conifold (Andrew)

arXiv:1107.5017

Other related topics: More orbifold examples, lines on Quintic, co-homological Hall algebra, wall crossing proofs in DT theory, singular curves…