Lie Groups and Lie Algebras: Lesson 18- Group Generators
Lie Groups and Lie Algebras: Lesson 18- Generators This is an important lecture! We work through the calculus of *group generators* and walk step-by-step through the exploitation of analyticity. That is, we use the Taylor expansion of the continuous functions associated with a Lie group o
From playlist Lie Groups and Lie Algebras
This lecture is part of an online graduate course on Lie groups. We define the Lie algebra of a Lie group in two ways, and show that it satisfied the Jacobi identity. The we calculate the Lie algebras of a few Lie groups. For the other lectures in the course see https://www.youtube.co
From playlist Lie groups
Lie Group Integrators for Animation and Control of Vehicles - Talk (1/4)
This video is a conference presentation of the paper "Lie Group Integrators for Animation and Control of Vehicles" given by Keenan Crane in August 2009 -- see http://keenan.is/nonholonomic for more information Lie Group Integrators for Animation and Control of Vehicles Marin Kobilarov, Ke
From playlist Lie Group Integrators Talk
Lie Groups and Lie Algebras: Lesson 22 - Lie Group Generators
Lie Groups and Lie Algebras: Lesson 22 - Lie Group Generators A Lie group can always be considered as a group of transformations because any group can transform itself! In this lecture we replace the "geometric space" with the Lie group itself to create a new collection of generators. P
From playlist Lie Groups and Lie Algebras
Lie Groups and Lie Algebras: Lesson 13 - Continuous Groups defined
Lie Groups and Lie Algebras: Lesson 13 - Continuous Groups defined In this lecture we define a "continuous groups" and show the connection between the algebraic properties of a group with topological properties. Please consider supporting this channel via Patreon: https://www.patreon.co
From playlist Lie Groups and Lie Algebras
Lie Group Integrators for Animation and Control of Vehicles - Talk (3/4)
This video is a conference presentation of the paper "Lie Group Integrators for Animation and Control of Vehicles" given by Keenan Crane in August 2009 -- see http://keenan.is/nonholonomic for more information Lie Group Integrators for Animation and Control of Vehicles Marin Kobilarov, Ke
From playlist Lie Group Integrators Talk
Lie Group Integrators for Animation and Control of Vehicles - Talk (2/4)
This video is a conference presentation of the paper "Lie Group Integrators for Animation and Control of Vehicles" given by Keenan Crane in August 2009 -- see http://keenan.is/nonholonomic for more information Lie Group Integrators for Animation and Control of Vehicles Marin Kobilarov, Ke
From playlist Lie Group Integrators Talk
Jean Michel BISMUT - Fokker-Planck Operators and the Center of the Enveloping Algebra
The heat equation method in index theory gives an explicit local formula for the index of a Dirac operator. Its Lagrangian counterpart involves supersymmetric path integrals. Similar methods can be developed to give a geometric formula for semi simple orbital integrals associated with the
From playlist Integrability, Anomalies and Quantum Field Theory
This lecture is part of an online graduate course on Lie groups. We give an introductory survey of Lie groups theory by describing some examples of Lie groups in low dimensions. Some recommended books: Lie algebras and Lie groups by Serre (anything by Serre is well worth reading) Repre
From playlist Lie groups
Lie Groups and Lie Algebras: Lesson 25 - the commutator and the Lie Algebra
Lie Groups and Lie Algebras: Lesson 25 - the commutator In this lecture we discover how to represent an infinitesimal commutator of the Lie group using a member of the Lie algebra. We promote the vector space spawned by the group generators to an algebra. Please consider supporting this
From playlist Lie Groups and Lie Algebras
This lecture is part of an online graduate course on Lie groups. We show the existence of a left-invariant measure (Haar measure) on a Lie group. and work out several explicit examples of it. Correction: At 21:40 There is an exponent of -1 missing: the parametrization of the unitary gro
From playlist Lie groups
Lie Group Integrators for Animation and Control of Vehicles - Talk (4/4)
This video is a conference presentation of the paper "Lie Group Integrators for Animation and Control of Vehicles" given by Keenan Crane in August 2009 -- see http://keenan.is/nonholonomic for more information Lie Group Integrators for Animation and Control of Vehicles Marin Kobilarov, Ke
From playlist Lie Group Integrators Talk
Motivic integration and p-adic reductive groups - J. Gordon - Workshop 2 - CEB T1 2018
Julia Gordon (U. British Colombia) Motivic integration and p-adic reductive groups. I will survey the state of the long-term program initiated by T.C. Hales of making representation theory of p-adic groups “motivic” (in the sense of motivic integration), and some applications of this ap
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
David Corwin, Kim's conjecture and effective Faltings
VaNTAGe seminar, on Nov 24, 2020 License: CC-BY-NC-SA.
From playlist ICERM/AGNTC workshop updates
David Zywina, Computing Sato-Tate and monodromy groups.
VaNTAGe seminar on May 5, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
On the pioneering works of Professor I.B.S. Passi by Sugandha Maheshwari
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation