Projects

Projects Areas and Projects

Code	Title	Principal Investigator
A01	Periods of the nilpotent completion of the fundamental group
A02	Tannaka group schemes of certain categories of bundles
A03	Higgs bundles and Higgs cohomology on quasi--projective manifolds
A04	Feynman integrals and motives
A05	Some aspects of limiting mixed Hodge structures
A06	Motivic cycles and regulators
A07	Modular Galois representations and Galois theoretic lifts
A08	Universal deformations, the rigidity method and Galois representations
A09	Arithmetic of Katz modular forms
A10	The cohomology of A-crystals, moduli spaces in positive characteristic and p-adic étale cohomology on schemes over Z_p
A11	p-adic cohomology
A12	Congruences for the number of rational points over finite fields
A13	p-adic point counting on Calabi-Yau threefolds
B01	Non-archimedean period domains
B02	Period domains of hyperkähler manifolds
B03	Picard-Fuchs equations, monodromy, and the Mumford-Tate group of special families of Calabi-Yau manifolds
B04	Calabi-Yau equations and Picard-Fuchs equations
B06	Periods and period domains for abelian varieties
B07	Local models of Shimura varieties
B08	Affine Deligne-Lusztig varieties
B09	SL(2,R)-action on translation surfaces and Teichmüller curves
B10	Arithmetic cycles on Shimura varieties
B11	Special subvarieties of Shimura varieties
C01	Algebraic Calabi-Yau categories
C03	Derived categories of Calabi-Yau manifolds
C04	Non-liftable Calabi-Yau manifolds in positive characteristics
C05	Lagrangian fibrations on symplectic manifolds
C06	Rozansky-Witten invariants
C07	Symplectic singularities
C09	Vector bundles
C10	Moduli with GIT
C11	Construction of moduli spaces: compactifications and ample sheaves
G	Graduate School
Z	Administrative Project

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