Erik Palmgren: A constructive examination of a Russell style ramified type theory
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: In this talk we examine the natural interpretation of a ramified type hierarchy into Martin-Löf type theory with an infinite sequence of universes. It is shown that unde
From playlist Workshop: "Proofs and Computation"
Anders Mörtberg: Yet Another Cartesian Cubical Type Theory yacctt
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: I will discuss recent work on developing a Cartesian cubical type theory inspired by the computational semantics of Computational Higher Type Theory of Angiuli et. al. Th
From playlist Workshop: "Types, Homotopy, Type theory, and Verification"
Bas Spitters: Modal Dependent Type Theory and the Cubical Model
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: In recent years we have seen several new models of dependent type theory extended with some form of modal necessity operator, including nominal type theory, guarded and c
From playlist Workshop: "Types, Homotopy, Type theory, and Verification"
Christian Sattler: Do cubical models of type theory also model homotopy types
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: I will give an alternative exposition of Kapulkin and Voevodsky's result about simplicial sets forming a subtopos of certain cubical sets: https://arxiv.org/abs/1805.0412
From playlist Workshop: "Types, Homotopy, Type theory, and Verification"
Thorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational interpretation. We propose to overcome this by introducing a Type Theory where a heterogenous equality is defined recursively and equ
From playlist T2-2014 : Semantics of proofs and certified mathematics
On Some Theories of Gauss Sums - Guy Henniart
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Guy Henniart October 17, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a four-day conference, "Geometry and
From playlist Pierre Deligne 61st Birthday
This lecture gives an overview of the main categories of machine learning, including supervised, un-supervised, and semi-supervised techniques, depending on the availability of expert labels. We also discuss the different methods to handle discrete versus continuous labels. Book websit
From playlist Intro to Data Science
Serre's Conjecture for GL_2 over Totally Real Fields (Lecture 3) by Fred Diamond
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)
On the Setoid Model of Type Theory - Erik Palmgren
Erik Palmgren University of Stockholm October 18, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Florian Herzig: On de Rham lifts of local Galois representations
Find 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, bibliographies,
From playlist Algebraic and Complex Geometry
From PSL2 representation rigidity to profinite rigidity - Alan Reid and Ben McReynolds
Arithmetic Groups Topic: From PSL2 representation rigidity to profinite rigidity Speakers: Alan Reid and Ben McReynolds Affiliations: Rice University; Purdue University Date: February 9, 2022 In the first part of this talk, we take the ideas of the second talk and focus on the case of (a
From playlist Mathematics
Geometric deformations of orthogonal and symplectic Galois representations - Jeremy Booher
Jeremy Booher Stanford University November 19, 2015 https://www.math.ias.edu/seminars/abstract?event=87395 For a representation of the absolute Galois group of the rationals over a finite field of characteristic p, we would like to know if there exists a lift to characteristic zero with
From playlist Joint IAS/PU Number Theory Seminar
Arithmetic models for Shimura varieties – Georgios Pappas – ICM2018
Number Theory | Algebraic and Complex Geometry Invited Lecture 3.8 | 4.11 Arithmetic models for Shimura varieties Georgios Pappas Abstract: We describe recent work on the construction of well-behaved arithmetic models for large classes of Shimura varieties and report on progress in the s
From playlist Algebraic & Complex Geometry
Yunqing Tang - Basic reductions of abelian varieties
Correction: The affiliation of Lei Fu is Tsinghua University. Elkies proved that an elliptic curve over Q has infinitely many supersingular reductions. The generalization of the 0-dimensional supersingular locus of the modular curve is the so called basic locus of a Shimura curve at a goo
From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021
CTNT 2020 - Elliptic curves and the local-global principle for quadratic forms - Asher Auel
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Conference Videos
Paul André Melliès: Refinement type systems and Martin Lof type theory
Please Note: Due to technical issues the recordings of the blackboard are shown in a slideshow manner. The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: In this talk, I will review my recent work with Noam Zeilberger on
From playlist Workshop: "Types, Homotopy, Type theory, and Verification"
Ernst-Ulrich Gekeler: Algebraic curves with many rational points over non-prime finite fields
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 SPECIAL 7th European congress of Mathematics Berlin 2016.