- When : Wednesday 3-4:30.
- Where : MATH 126
- What : Siegel modular forms
Topics : Automorphic forms on Sp2g, Siegel upper half-plane functions (vector-valued), Sections of vector bundles, ...
Talk Schedule from the organisation meeting :
Talk 1 : Definition of automorphic form. Interpretation of classical modular forms as automorphic forms for GL2. By Lior Silberman.
Talk 2 : Talk on Sp2g and Siegel upper half-plane. By Stephen.
Talk 3-4 : Representations of semisimple Lie groups (real, compact). Roots, weights recap. By Parham + Ashvni.
Talk 5 : Introduction to vector bundles, cohomology, abelian varieties, hopefully by an Algebraic Geometer.
Talks 3-4-5 will be joining forces, and are interchangeable.
Boaz will give a subsequent talk on compactification.
Notes from talks : Those notes are taken on the fly during lectures and not only likely to contain typos, but most definitely do. Speakers are more than welcome to provide notes that I will display instead of mine.
- Talk 1 : Modular forms. By Lior. [html] [pdf]
- Talk 2 : Review on the symplectic group, root sytems, and Cartan involution. By Ashvni. [html] [pdf]
- Talk 3 : Review on representations of Lie algebras, and the hermitian structure on the upper-half plane. By Parham and Stephen[html] [pdf]
- Talk 4 : Adèles and approximation. By Ed[html] [pdf]
- Talk 5 : Representation theory of reductive groups over the adeles. By Ed. [Notes]
- Talk 6 : Automorphic Forms and Vector Bundles. By Stephen[html] [pdf]
- Talk 7 : Siegel upper half-space and Symplectic spaces. By Lior[pdf]
- Talk 8 : Siegel upper half-space and Principally Polarized Varieties. By Thomas[notes]
2-week break : No talk during the exam period.
- Talk 9 : Theta series. By Julia [html] [pdf]
- Talk 10 : Line bundles and Theta functions. By Thomas [notes]
- Talk 11 : Heisenberg Groups and the Weil Representation. By Ed
Reading list :