We will hold the fourth workshop on arithmetic geometry in Hakodate. Past workshops were held in 2014, 2016 and 2017.

Date: December 10-11, 2018.

Venue: Hakodate City, Ｇ square, multi-purpose hall (map).

List of speakers :

• Yasuhiro Goto (Hokkaido University of Education Hakodate)
• Luc Illusie (Université Paris-Sud )
• Shane Kelly (Tokyo Institute of Technology)
• Teruhisa Koshikawa (RIMS)
• Keiho Matsumoto (Tokyo Institute of Technology)
• Yukiyoshi Nakkajima (Tokyo Denki University)
• Natsuo Saito (Hiroshima City University)
• Takashi Suzuki (Chuo University)
• Nobuo Tsuzuki (Tohoku University)

Program (abstracts)

December 10(Mon.)

• 10:30--11:30 Illusie: A new approach to the de Rham-Witt theory, after Bhatt, Lurie and Mathew
• 11:45--12:30 Goto: Calculations on the formal groups of Calabi-Yau threefolds of Delsarte type
• 14:00--15:00 Nakkajima: Artin-Mazur’s height and Yobuko’s height
• 15:15--16:15 Saito: Fano varieties in positive characteristic and their F-splittings
• 16:30--17:30 Suzuki: Duality for cohomology of local fields and curves with coefficients in abelian varieties

December 11(Tue.)

• 10:30--11:30 Kelly: A motivic formalism in representation theory
• 11:45--12:30 Matsumoto: On Gysin triangles of motifs with modulus
• 14:00--15:00 Koshikawa: CM liftings of K3 surfaces and the Tate conjecture
• 15:15--16:15 Tsuzuki: On variation of Newton polygons of F-isocrystals on a variety
• 16:30--17:30 free discussion

This workshop is supported by JSPS Kakenhi grant (18K03232, 18K03200) and Research Alliance Center for Mathematical Science (RACMaS).

Organizers : Masao Aoki (Hokkaido University of Education Hakodate), Yasuhiro Goto (Hokkaido University of Education Hakodate), Takao Yamazaki (Tohoku University)