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#Exponential Sums

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Hausdorff Center for Mathematics

Ciprian Demeter - Restriction of Exponential Sums to Hypersurfaces

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Explore exponential sums on hypersurfaces, focusing on sharp moment inequalities and scale-independent results. Gain insights into critical exponents and Hardy-Littlewood lemmas.
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17 Lesons
59 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Terence Tao: Singmaster's Conjecture in the Interior of Pascal's Triangle

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Explore Singmaster's conjecture in Pascal's triangle, combining Archimedean and non-Archimedean arguments to establish the conjecture in the triangle's interior region.
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17 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Valentin Blomer - The Polynomial Method for Point Counting and Exponential Sums, Lecture III

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Explore advanced techniques for counting points on curves over finite fields and estimating exponential sums using auxiliary polynomials and character sums.
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10 Lesons
45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Simon Myerson- Repulsion- A How-To Guide, Lecture III

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Explore advanced techniques in polynomial analysis, focusing on repulsion methods to improve Birch's circle method for integral zeroes of multivariate polynomials.
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1 Lesons
59 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Repulsion - A How-To Guide, Lecture I

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Explore advanced techniques in polynomial analysis, focusing on repulsion methods to improve Birch's circle method for integral zeroes of multivariate polynomials.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Hausdorff Center for Mathematics

Exponential Sums and Oscillatory Integral - A Unified Approach

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Explore a unified approach to exponential sums and oscillatory integrals, delving into advanced mathematical concepts and techniques in this comprehensive lecture.
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1 Lesons
54 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Polynomial Method for Point Counting and Exponential Sums - Lecture IV

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Explore advanced techniques for counting points on curves over finite fields and estimating exponential and character sums using auxiliary polynomial families.
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1 Lesons
45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Valentin Blomer: The Polynomial Method for Point Counting and Exponential Sums

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Explore advanced techniques for counting points on curves over finite fields and estimating exponential sums using families of auxiliary polynomials.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Polynomial Method for Point Counting and Exponential Sums

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Explore how auxiliary polynomials aid in counting points on curves over finite fields and estimating exponential and character sums.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 1

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Explore advanced concepts in analytic number theory, focusing on subconvexity bounds for L-functions and their applications in mathematics.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 3

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Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 2

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Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Sharp Inequalities in Probability and Harmonic Analysis

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Explore sharp inequalities in probability and harmonic analysis, covering motivations, history, proofs, and applications in stochastic integrals and numerical approximations.
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20 Lesons
59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Kloosterman Sums Over Families of Lattices

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Delve into advanced mathematical concepts focusing on Kloosterman sums and their relationships with lattice families through expert analysis and theoretical exploration.
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1 Lesons
53 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Arithmetical Exponential Sums - An Urchin Story

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Delve into advanced mathematical concepts of arithmetical exponential sums through an engaging exploration of their properties, patterns, and applications in number theory.
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1 Lesons
55 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Exponential Sums - Lecture 2

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Delve into advanced number theory concepts through an exploration of exponential sums, circle method applications, and their role in analyzing rational points on varieties and prime number theory.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video