Learning seminar on Arithmetic Inner Product Formula

In this seminar, we want to understand the statement of arithmetic inner product formula conjecture and the idea of the proof.

Time and Place:

2pm-4pm ET time, at 2-255 MIT.

Date Title Speaker Notes
Sep23 Classical theta correspondence, Doubling method and Siegel-Weil formula Julia Meng notes
Sep30 Rallis inner product formula & central derivatives Weixiao Lu notes
Oct7 Arithmetic and geometric theta series Ayan Nath notes

Oct16 1-2:30pm at 2-361

Research talk: Comparison of absolute and relative unitary Rapoport-Zink spaces Yu Luo TBA
Oct21 Geometric Siegel-Weil formula and geometric inner product formula Vijay Srinivasan TBA
Oct28 Arithmetic intersection theory Daniel Hu notes
Nov4 Research talk: Semi-Lie arithmetic fundamental lemma for full spherical Hecke algebras Evan Chen TBA
Nov11 Research talk: On local newform theory for unramified odd unitary groups Masao Oi TBA
Nov18 Integral models and Arakelov theta series Patrick Bieker TBA
Nov25 Arithmetic Siegel-Weil formula and arithmetic inner product formula Mikayel Mkrtchyan TBA
Dec2 Beilinson-Bloch height pairing and local indices Ryan Chen TBA
Dec9 Sketch of proof of arithmetic inner product formula Zeyu Wang TBA
Syllabus

References:

Main References:

Other References: