The Kakeya Set conjecture over Z mod N for general N - Manik Dhar
Computer Science/Discrete Mathematics Seminar I Topic: The Kakeya Set conjecture over Z mod N for general N Speaker: Manik Dhar Affiliation: Princeton University Date: November 08, 2021 A Kakeya Set in (Z/N Z)^n is a set that contains a line in every direction. It has been known for ove
From playlist Mathematics
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 03) by Misha Verbitsky
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
algebraic geometry 4 Kakeya sets
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It continues with more examples from algebraic geometry, in particular Kakeya sets over finite fields and the 27 lines on a cubic surface.
From playlist Algebraic geometry I: Varieties
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 04) by Misha Verbitsky
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
Finite Field Restriction Estimates - Mark Lewko
Mark Lewko Institute for Advanced Study; Member, School of Mathematics September 24, 2013 The Kakeya and restriction conjectures are two of the central open problems in Euclidean Fourier analysis (with the second logically implying the first, and progress on the first typically implying p
From playlist Mathematics
Finite Field Restriction Estimates - Mark Lewko Mark Lewko
Institute for Advanced Study; Member, School of Mathematics September 24, 2013 The Kakeya and restriction conjectures are two of the central open problems in Euclidean Fourier analysis (with the second logically implying the first, and progress on the first typically implying progress on t
From playlist Mathematics
Vagaries of the Monsoon video by Sulochana Gadgil
URL: https://www.icts.res.in/outreach/kaap... Kaapi with Kuriosity is a monthly public lecture series organised by the International Centre for Theoretical Sciences (ICTS-TIFR), in collaboration with the Jawaharlal Nehru Planetarium and the Visvesvaraya Industrial and Technological Museum
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 02) by Misha Verbitsky
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
Kaapi with Kuriosity Black Holes by Ramesh Narayan (Thomas Dudley Cabot Professor of the Natural Sciences at Harvard University and Senior Astronomer at the Smithsonian Astrophysical Observatory) 4pm to 6pm Sunday, 21 January 2018 J. N. Planetarium, Sri T. Chowdaiah Road, High Grounds, B
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
Chris SOGGE - Toponogov's theorem and improved Kakeya-Nikodym estimates...
Toponogov's theorem and improved Kakeya-Nikodym estimates for eigenfunctions on manifolds of nonpositive curvature This is joint work with Matthew Blair. Using wave equation techniques and elementary facts from Riemannian geometry, we show that, on negatively curved manifolds, eigenfuncti
From playlist Trimestre "Ondes Non linéaires" - June Conference
Ciprian Demeter: Decoupling theorems and their applications
We explain how a certain decoupling theorem from Fourier analysis finds sharp applications in PDEs, incidence geometry and analytic number theory. This is joint work with Jean Bourgain. The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Part
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Characteristic subsets and the polynomial method – Miguel Walsh – ICM2018
Dynamical Systems and Ordinary Differential Equations | Number Theory Invited Lecture 9.14 | 3.9 Characteristic subsets and the polynomial method Miguel Walsh Abstract: We provide an informal discussion of the polynomial method. This is a tool of general applicability that can be used to
From playlist Number Theory
Topics in Combinatorics lecture 12.2 --- Dvir's solution to the finite-field Kakeya problem
A line in F_p^n is a set of the form {x+ty: t=0,1,...,p-1}. We call y the direction of the line. How small can a subset A of F_p^n be if it contains at least one line in every direction? This question can be regarded as a combinatorial version of the famous Kakeya problem (https://en.wikip
From playlist Topics in Combinatorics (Cambridge Part III course)
A Deterministic Sample of Bourgain’s Work - Peter Sarnak and Avi Wigderson
Honoring the Life and Work of Jean Bourgain Topic: A Deterministic Sample of Bourgain’s Work Speakers: Peter Sarnak, Avi Wigderson Date: May 31, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Bourgain’s Work on Restriction and Decoupling - Larry Guth
Honoring the Life and Work of Jean Bourgain Topic: Bourgain’s Work on Restriction and Decoupling Speaker: Larry Guth Date: June 1, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Search games and Optimal Kakeya Sets - Yuval Peres
Yuval Peres Microsoft Research April 28, 2014 A planar set that contains a unit segment in every direction is called a Kakeya set. These sets have been studied intensively in geometric measure theory and harmonic analysis since the work of Besicovich (1919); we find a new connection to gam
From playlist Mathematics
Unexpected Applications of Polynomials in Combinatorics - Larry Guth
Larry Guth Massachusetts Institute of Technology March 12, 2013 In 2007, Zeev Dvir shocked experts by giving a one-page proof of the finite field Kakeya problem. The new idea in the proof was to introduce high degree polynomials into a problem about points and lines. This idea has led to p
From playlist Mathematics