Taken from here
Preliminary website for the Tuesday’s Reading seminar.
Room & Dates
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…