Speaker:
Hossein Movasati
Time:
Mon., 10:40-12:15 & 13:30-15:05,
Sept. 8-Dec. 15, 2025 (updated)
Venue:
B725, Shuangqing Complex Building A
(updated)
Online:
Zoom Meeting ID: 687 513 9542
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