Trace of an Operator and of a Matrix
Trace of an operator defined to be the sum of the eigenvalues (or of the eigenvalues of the complexification), repeated according to multiplicity. Trace of a matrix defined to be the sum of the squares of the diagonal enties. The connection between these two notions of trace.
From playlist Linear Algebra Done Right
SICSS 2019 -- What is digital trace data?
From playlist All Videos
On the Comparison of Trace Formulas - Jim Arthur
Jim Arthur University of Toronto April 28, 2011 GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR We shall recall the spectral terms from the trace formula for G and its stabilaization, as well as corresponding terms from the twisted trace formula for GL(N). We shall then discuss aspec
From playlist Mathematics
What are Connected Graphs? | Graph Theory
What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr
From playlist Graph Theory
Introduction to Detection Theory (Hypothesis Testing)
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Includes definitions of binary and m-ary tests, simple and composite hypotheses, decision regions, and test performance characterization: prob
From playlist Estimation and Detection Theory
There are two different types of reductionism. One is called methodological reductionism, the other one theory reductionism. Methodological reductionism is about the properties of the real world. It’s about taking things apart into smaller things and finding that the smaller things determ
From playlist Philosophy of Science
Peter Sarnak "Some analytic applications of the trace formula before and beyond endoscopy" [2012]
2012 FIELDS MEDAL SYMPOSIUM Date: October 17, 2012 11.00am-12.00pm We describe briefly some of the ways in which the trace formula has been used in a non comparative way. In particular we focus on families of automorphic L-functions symmetries associated with them which govern the distrib
From playlist Number Theory
In this video, we give an important motivation for studying Topological Cyclic Homology, so called "trace methods". Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://w
From playlist Topological Cyclic Homology
James Arthur: Beyond Endoscopy and elliptic terms in the trace formula
Abstract: Beyond endoscopy is the strategy put forward by Langlands for applying the trace formula to the general principle of functoriality. Subsequent papers by Langlands (one in collaboration with Frenkel and Ngo), together with more recent papers by Altug, have refined the strategy. Th
From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann
Teena Gerhardt - 1/3 Algebraic K-theory and Trace Methods
Algebraic K-theory is an invariant of rings and ring spectra which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approac
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Jamie Gabe: A new approach to classifying nuclear C*-algebras
Talk in the global noncommutative geometry seminar (Europe), 9 February 2022
From playlist Global Noncommutative Geometry Seminar (Europe)
Inna Zakharevich, Characteristic polynomials and traces
Global Noncommutative Geometry Seminar (Americas) on 10/22/21 https://globalncgseminar.org/talks/3584/
From playlist Global Noncommutative Geometry Seminar (Americas)
8ECM Invited Lecture: Stuart White
From playlist 8ECM Invited Lectures
Yonatan harpaz : The universal property of topological Hochschild homology
CONFERENCE Recording during the thematic meeting : « Chromatic Homotopy, K-Theory and Functors» the January 24, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIR
From playlist Topology
Christopher Schafhauser: On the classification of nuclear simple C*-algebras, Lecture 3
Mini course of the conference YMC*A, August 2021, University of Münster. Abstract: A conjecture of George Elliott dating back to the early 1990’s asks if separable, simple, nuclear C*-algebras are determined up to isomorphism by their K-theoretic and tracial data. Restricting to purely i
From playlist YMC*A 2021
Trace Dynamics: Quantum theory as an emergent phenomenon by Tejinder Singh ( Lecture - 02)
21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie
From playlist Fundamental Problems of Quantum Physics
Christopher Schafhauser: On the classification of nuclear simple C*-algebras, Lecture 1
Mini course of the conference YMC*A, August 2021, University of Münster. Abstract: A conjecture of George Elliott dating back to the early 1990’s asks if separable, simple, nuclear C*-algebras are determined up to isomorphism by their K-theoretic and tracial data. Restricting to purely i
From playlist YMC*A 2021
Ex: Find the Trace and Determinant of a 3x3 Matrix Using Eigenvalues
This video explains how to determine the trace and determinant of a 3x3 matrix using eigenvalues. http://mathispower4u.com
From playlist Eigenvalues and Eigenvectors
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - D.Farenick
Douglas Farenick (University of Toronto) / 13.09.17 Title: Isometric and Contractive of Channels Relative to the Bures Metric Abstract:In a unital C*-algebra A possessing a faithful trace, the density operators in A are those positive elements of unit trace, and the set of all density el
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester