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Explicit moduli spaces of abelian varieties with automorphismsTrento, September 2010 3 The Shimura varieties The Shimura curve The Shimura surface Explicit moduli The Shimura

Chapter 5 Moduli of abelian varieties Ching-Li Chai∗ and Frans Oort Introduction We discuss three questions listed in the 1995 collection 74 and partial answers to them.…

Abelian varieties over finite fields Frans Oort Mathematisch Instituut, P.O. Box. 80.010, NL - 3508 TA Utrecht The Netherlands e-mail: [email protected] Abstract. A. Weil proved…

Families of Abelian Varieties with Big Monodromy David Zureick-Brown Emory University David Zywina IAS Slides available at http:www.mathcs.emory.edu~dzbslides 2013 Colorado…

Gauge Fields Coupled to a Higgs Boson at Low and High Disorder We consider computations of Wilson loop expectations to leading or- der at large β in the case where a

THREE-ISOGENY SELMER GROUPS AND RANKS OF ABELIAN VARIETIES IN QUADRATIC TWIST FAMILIES OVER A NUMBER FIELD MANJUL BHARGAVA, ZEV KLAGSBRUN, ROBERT J. LEMKE OLIVER, AND ARI…

THE HECKE ORBIT CONJECTURE CHING-LI CHAI FRANS OORT 1. Introduction Entry 15 of 37, Hecke orbits, contains the following prediction. Given any Fp-point x = Ax, λx in the…

Γp-level structure on p-divisible groups Thesis by Andrei Frimu In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy CALIFORNIA INSTITUTE OF…

Michael Harris §1. Moduli 1.1. Let V = Q2g, and let be the standard symplectic form on V , represented by the matrix ( 0 Ig −Ig 0 ) . Let T be the lattice

Slide 1 Abelian Anomaly & Neutral Pion Production Craig Roberts Physics Division Why γ* γ → π0 ? The process γ* γ → π0 is fascinating To explain this transition…

ar X iv :1 41 1. 32 35 v1 [ ma th. AG ] 12 N ov 20 14 TOPOLOGICAL METHODS IN MODULI THEORY F. CATANESE Contents Introduction 3 1. Prehistory and beyond 6 2. Algebraic topology:…

MDexp3_latticeJin Zhaohui The ground state (T = 0 K) Total-energy curves of the seven phases of Si as a function of the atomic volume normalized to expt. Dashed line is the

TRACES OF SINGULAR MODULI Don Zagier Introduction. “Singular moduli” is the classical name for the values assumed by the modular invariant jτ or by other modular functions…

ALTERNATE COMPACTIFICATIONS OF THE MODULI SPACE OF GENUS ONE MAPS MICHAEL VISCARDI Abstract. We extend the definition of an m-stable curve introduced by Smyth to the setting

Notes on Shimura VarietiesNotation The derived group G der, the adjoint group G ad and the centre Z of a reductive algebraic group G fit into exact sequences: 1 −→

An Introduction to Kuga Fiber Varieties Dylan Attwell-Duval Department of Mathematics and Statistics McGill University Montreal, Quebec [email protected] April…

finland2.dviValentin V. Lychagin University of Tromsoe, Norway 0-0 • [Bol, 1932] • [Blaschke, 1955] ”Find invariant conditions for a planar 4-web to be of

transparents-expose-nashville.dvi2005 0-0 (X, ω) symplect. var. A : C*-alg, a=a* Hamiltonian H : X → R H auto-adj unbounded onH π : A → B(H) Time evoln

On varieties of distributive lattice effect algebrasPalacky University Olomouc Czech Republic [email protected] 1 Introduction 2 Solution Effect algebras The Kolmogorov system

tagajyo7.dvicanonical varieties trick 2 2.3 3 4 5 Sommese 5 6 – 6 7 Kollar [K, §2.4 ] 1.1 ideal sheaves klt klt lc non-lc ideal sheaves non-lc ideal sheaves non-lc