Algebraic geometry | Elliptic curves
In mathematics, an Igusa curve is (roughly) a coarse moduli space of elliptic curves in characteristic p with a level p Igusa structure, where an Igusa structure on an elliptic curve E is roughly a point of order p of E(p) generating the kernel of V:E(p) → E. An Igusa variety is a higher-dimensional analogue of an Igusa curve. Igusa curves were studied by Igusa and Igusa varieties were introduced by . (Wikipedia).
Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 1/3
Abstract: The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its
From playlist Algebraic and Complex Geometry
Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 3/3
Abstract : The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its
From playlist Algebraic and Complex Geometry
Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 2/3
Abstract : The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its
From playlist Algebraic and Complex Geometry
Yuri Tschinkel, Height zeta functions
VaNTAGe seminar May 11, 2021 License: CC-BY-NC-SA
From playlist Manin conjectures and rational points
Ana Caraiani - 3/3 Shimura Varieties and Modularity
We discuss vanishing theorems for the cohomology of Shimura varieties with torsion coefficients, under a genericity condition at an auxiliary prime. We describe two complementary approaches to these results, due to Caraiani-Scholze and Koshikawa, both of which rely on the geometry of the H
From playlist 2022 Summer School on the Langlands program
A New Approach to the Local Langlands Correspondence for GLnGLn Over p-Adic Fields - Peter Scholze
A New Approach to the Local Langlands Correspondence for GLnGLn Over p-Adic Fields - Peter Scholze University of Bonn November 17, 2010 We give a new local characterization of the Local Langlands Correspondence, using deformation spaces of p-divisible groups, and show its existence by a c
From playlist Mathematics
Overconvergent Igusa Tower and Overconvergent Modular Forms - Jacques Tilouine
Jacques Tilouine University de Paris 13 and Institut Universitaire de France April 7, 2011 GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR Note: (joint work with O. Brinon and A. Mokrane) For more videos, visit http://video.ias.edu
From playlist Mathematics
"Numerical evidence for the Bruinier-Yang conjecture" Kristin Lauter, Microsoft Research [2011]
Kristin Lauter, Microsoft Research Wednesday Nov 9, 2011 11:00 - 11:40 Numerical evidence for the Bruinier-Yang conjecture and comparison with denominators of Igusa class polynomials Women in Numbers Conference Video taken from: http://www.birs.ca/events/2011/5-day-workshops/11w5075/vide
From playlist Mathematics
Wim Veys : Zeta functions and monodromy
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
P-Adic Automorphic Forms and (big) Igusa Varieties by Sean Howe
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)