Joe Neeman: Gaussian isoperimetry and related topics II
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Graph Theory: 09. Graph Isomorphisms
In this video I provide the definition of what it means for two graphs to be isomorphic. I illustrate this with two isomorphic graphs by giving an isomorphism between them, and conclude by discussing what it means for a mapping to be a bijection. An introduction to Graph Theory by Dr. Sar
From playlist Graph Theory part-2
Isosceles Triangle Theorems: Dynamic Illustrations WITHOUT WORDS or NUMBERS
Link: https://www.geogebra.org/m/Au4rzFcJ BGM: Andy Hunter
From playlist Geometry: Dynamic Interactives!
Christelle Vincent, Exploring angle rank using the LMFDB
VaNTAGe Seminar, February 15, 2022 License: CC-NC-BY-SA Links to some of the papers mentioned in the talk: Dupuy, Kedlaya, Roe, Vincent: https://arxiv.org/abs/2003.05380 Dupuy, Kedlaya, Zureick-Brown: https://arxiv.org/abs/2112.02455 Zarhin 1979: https://link.springer.com/article/10.100
From playlist Curves and abelian varieties over finite fields
Joe Neeman: Gaussian isoperimetry and related topics III
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Jeffrey Achter, Equidistribution counts abelian varieties
VaNTAGe Seminar, February 22, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk are listed below. Sutherland: https://arxiv.org/abs/1604.01256 Gekeler: https://academic.oup.com/imrn/article/2003/37/1999/863196 Job Rauch: https://www.universiteitleiden.nl/binar
From playlist Curves and abelian varieties over finite fields
Taylor Dupuy (Nov. 13, 2020): Abelian Varieties Over Finite Fields in the LMFDB
I will talk about things around the LMFDB database of isogeny classes of abelian varieties over finite fields (and maybe even about isomorphism classes). These could include: --"Sato-Ain't" distributions, --weird Tate classes, --Bizzaro Hodge co-levels (and very strange Ax-Katz/Cheval
From playlist Seminar Talks
Jeremy Booher, Can you hear the shape of a curve
VaNTAGe seminar, on Nov 24, 2020 License: CC-BY-NC-SA.
From playlist ICERM/AGNTC workshop updates
Joe Neeman: Gaussian isoperimetry and related topics I
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Stefano Marseglia, Computing isomorphism classes of abelian varieties over finite fields
VaNTAGe Seminar, February 1, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Honda: https://doi.org/10.2969/jmsj/02010083 Tate: https://link.springer.com/article/10.1007/BF01404549 Deligne: https://eudml.org/doc/141987 Hofmann, Sircana: https://arxiv.org/ab
From playlist Curves and abelian varieties over finite fields
Proof: The Isosceles Triangle Theorem
Complete videos list: http://mathispower4u.yolasite.com/ This video provides a two column proof of the isosceles triangle theorem.
From playlist Triangles and Congruence
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
Proof: Greater Angle is Subtended by Longer Side in a Triangle | Geometry
If one angle of a triangle is greater than another, then the side opposite the greater angle is longer than the side opposite the lesser angle. We prove this result in today's geometry video lesson. Note how this is a sort of extension of the converse of the isosceles triangle theorem, whi
From playlist Geometry
Elliptic Curves - Lecture 11 - The Tate module
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Converse of Isosceles Triangle Theorem: GeoGebra Discovery
Quick 2:20 video that illustrates how GeoGebra's Geometry App can Help Foster Active, Student-Centered, Discovery-Based Learning. In this case, students can discover the converse of the Isosceles Triangle Theorem.
From playlist Geometry: Dynamic Interactives!
Everett Howe, Deducing information about a curve over a finite field from its Weil polynomial
VaNTAGe Seminar, March 1, 2022 License CC-BY-NC-SA Links to some of the papers and websites mentioned in this talk are listed below Howe 2021: https://arxiv.org/abs/2110.04221 Tate: https://link.springer.com/chapter/10.1007/BFb0058807 Howe 1995: https://www.ams.org/journals/tran/1995-
From playlist Curves and abelian varieties over finite fields
The Isoperimetric - Larry Guth
Larry Guth University of Toronto; Member, School of Mathematics February 9, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Jeff Achter: Local densities compute isogeny classes
Abstract: Consider an ordinary isogeny class of elliptic curves over a finite, prime field. Inspired by a random matrix heuristic (which is so strong it's false), Gekeler defines a local factor for each rational prime. Using the analytic class number formula, he shows that the associated i
From playlist Algebraic and Complex Geometry
A semistable model for the tower of modular curves - Jared Weinstein
Jared Weinstein Member, School of Mathematics March 22, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
This video defines and gives and example of isomorphic graphs. mathispower4u.com
From playlist Graph Theory (Discrete Math)