Arithmetic of Calabi-Yau varieties

Speaker：

Hossein Movasati (IMPA)

Time：

Mon. & Wed., 13:30-15:05,

Sept. 8-Dec. 17, 2025

Venue：

C654, Shuangqing Complex Building A;

Online：

Zoom Meeting ID: 271 534 5558

Passcode: YMSC

Description:

The main goal of the present course is two-folded. First, we develop the theory of Calabi-Yau modular forms introduced in [Mov22b, Mov17a, AMSY16]. Second, we aim to gather the literature on arithmetic modularity beyond elliptic curves, and in particular, rigid Calabi-Yau varieties. For this we will follows [Yui13] and the references therein.

Prerequisite:

Algebraic Geometry, Number theory

Reference:

[AMSY16] M. Alim, H. Movasati, E. Scheidegger, and S.-T. Yau. Gauss-Manin connection in disguise: Calabi-Yau threefolds. Comm. Math. Phys., 334(3):889–914, 2016. [Mov22b] H. Movasati. Modular and automorphic forms & beyond, volume 9 of Monogr. Number Theory. Singapore: World Scientific, 2022.[Mov17a] H. Movasati. Gauss-Manin connection in disguise: Calabi-Yau modular forms. Surveys of Modern Mathematics, Int. Press, Boston., 2017. [Yui13] N. Yui. Modularity of Calabi-Yau varieties: 2011 and beyond. In Arithmetic and geometry of K3 surfaces and Calabi-Yau threefolds, volume 67 of Fields Inst. Com-mun., pages 101–139. Springer, New York, 2013.

Target Audience: Graduate students

Teaching Language: English