Arithmetic of Calabi-Yau varieties
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.
Registration: https://www.wjx.top/vm/Oks2Th3.aspx#
Registration: https://www.wjx.top/vm/Oks2Th3.aspx#
Lecturer
Hossein Movasati
Date
8th September ~ 17th December, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Monday,Wednesday | 09:50 - 11:25 | Shuangqing-B654 | ZOOM Y3 | 271 534 5558 | YMSC |
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.
[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.
Audience
Graduate
Video Public
Yes
Notes Public
No
Language
English
Lecturer Intro
Hossein Movasati is an Iranian-Brazilian mathematician who since 2006 has worked at the Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro. He began his mathematical career working on holomorphic foliations and differential equations on complex manifolds, and gradually moved to study Hodge theory and modular forms and the role of these in mathematical physics, and in particular mirror symmetry.