algebraic geometry 23 Categories
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives a quick review of category theory as background for the definition of morphisms of algebraic varieties.
From playlist Algebraic geometry I: Varieties
Michael Wibmer: Etale difference algebraic groups
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 Algebraic and Complex Geometry
Vanessa Miemietz: Cell 2 representations and categorification at roots of u
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: I will talk about joint work with Robert Laugwitz on 2-representation theory of p-dg 2- categories, and how it relates to categorification of quantum grou
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Matt SZCZESNY - Toric Hall Algebras and infinite-dimentional Lie algebras
The process of counting extensions in categories yields an associative (and sometimes Hopf) algebra called a Hall algebra. Applied to the category of Feynman graphs, this process recovers the Connes-Kreimer Hopf algebra. Other examples abound, yielding various combinatorial Hopf algebras.
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Forbidden Patterns in Tropical Planar Curves by Ayush Kumar Tewari
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the stu
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Hankyung Ko: A singular Coxeter presentation
SMRI Algebra and Geometry Online Hankyung Ko (Uppsala University) Abstract: A Coxeter system is a presentation of a group by generators and a specific form of relations, namely the braid relations and the reflection relations. The Coxeter presentation leads to, among others, a similar pre
From playlist SMRI Algebra and Geometry Online
Vanessa Miemietz: A categorified double centraliser theorem and applications to Soergel bimodules
I will explain how notions from classical representation theory, including a double centraliser theorem, lift to finitary 2-representation theory, and how this helps in classifying simple 2-representations of Soergel bimodules of finite Coxeter type in characteristic zero.
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Volodymyr Mazorchuk: Introduction to 2 representation theory (Part 2 of 4)
Please note: Unfortunately the first part of the talk-series is not available due to technical issues. The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. The aim of this series of lectures is to introduce the audie
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Volodymyr Mazorchuk: Introduction to 2 representation theory (Part 4 of 4)
Please note: Unfortunately the first part of the talk-series is not available due to technical issues. The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. The aim of this series of lectures is to introduce the audie
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
The Tropical Limit of String Theory and Feynman Integrals by Piotr Tourkine
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Volodymyr Mazorchuk: Introduction to 2 representation theory (Part 3 of 4)
Please note: Unfortunately the first part of the talk-series is not available due to technical issues. The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. The aim of this series of lectures is to introduce the audie
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
algebraic geometry 5 Affine space and the Zariski topology
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of affine space and its Zariski topology.
From playlist Algebraic geometry I: Varieties
optimization and Tropical Combinatorics (Lecture 3) by Michael Joswig
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study of
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Shrinking Dynamics on Tropical Series by Nikita Kalinin
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the st
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Optimization and Tropical Combinatorics (Lecture 4) by Michael Joswig
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study of
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Entropy Equipartition along almost Geodesics in Negatively Curved Groups by Amos Nevo
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
F. Polizzi - Classification of surfaces via Mori theory (Part 4)
Abstract - We give a summary of the Minimal Model Program (namely, Mori Theory) in the case of surfaces.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Iva Halacheva: The cactus group, crystals, and perverse equivalences
Suppose C is a category equipped with a categorical action of a (simply-laced) semisimple Lie algebra g. Chuang and Rouquier construct equivalences on its derived category $D^b(C)$ via the so called Rickard complexes, one for each simple root of g. These complexes satisfy the braid relatio
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Connecting tropical intersection theory with polytope algebra in types A and B by Alex Fink
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)