Generalisations of Schanuel Conjecture in Number Theory
Explore advanced number theory with Patrice Philippon as he delves into generalisations of the Schanuel conjecture, offering insights into this fundamental mathematical problem.
Eigenvarieties and Arithmetic - Connection to L-Functions
Explore eigenvarieties, p-adic automorphic forms, and their connection to L-functions. Discover the local geometry of eigenvarieties and its significance in arithmetic.
Does -1/12 Protect Us From Infinity? - Revisiting the Sum of Integers
Professor Tony Padilla revisits the controversial sum of integers equaling -1/12, exploring new insights and mathematical implications in this intriguing Numberphile video on infinite series.
The Return of -1/12 - Exploring Divergent Series in Mathematics
Explore the controversial sum 1+2+3+... = -1/12 with UC Berkeley's Tony Feng. Delve into mathematical concepts, interpretations, and the ongoing debate surrounding this intriguing result.
Geometric Bounds for Spanning Tree Entropy of Planar Lattices
Explores geometric bounds for spanning tree entropy in planar lattices, connecting hyperbolic geometry, number theory, probability, and graph theory. Discusses conjectures and recent progress.
Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 3
Explores advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Builds on previous lectures to deepen understanding of these fundamental objects.
Classification, Reduction and Stability of Toric Principal Bundles by Indranil Biswas
Explore toric principal bundles' classification, reduction, and stability in this advanced mathematics lecture, delving into algebraic geometry and group theory concepts.
Central Extensions of Arithmetic Lattices by Matthew Stover
Explore central extensions of arithmetic lattices, focusing on techniques from algebraic and analytic number theory. Gain insights into applications in geometry, topology, and mathematical physics.
Conjugacy Width in Higher Rank Arithmetic Groups of Orthogonal Type by Chen Meiri
Explore conjugacy width in higher rank arithmetic groups of orthogonal type, examining its properties and implications for group theory and related mathematical fields.
On the Hasse Principle for Reductive Algebraic Groups Over Finitely Generated
Explore the Hasse Principle for reductive algebraic groups over finitely generated fields, delving into advanced number theory and algebraic geometry concepts.
Uniform Stability of Higher-rank Lattices - Lecture 2
Explore uniform stability in higher-rank arithmetic groups, focusing on advanced mathematical concepts and their applications in group theory and geometry.
Fractions - A Mini Review Course
Comprehensive review of fraction concepts, from basics to advanced operations. Ideal for beginners or those seeking a quick refresher on essential fraction skills and techniques.
Rational Points on Modular Curves by Jan Vonk
Explore advanced techniques for studying rational points on modular curves, focusing on theoretical and computational aspects in arithmetic geometry.
Interview with Noga Alon - Mathematician with 600 Publications
Interview with mathematician Noga Alon discussing his prolific career, interdisciplinary research, and notable contributions to mathematics, including necklace splitting and applications of the Borsuk-Ulam Theorem.
Ribet's Lemma in Residually Indistinguishable Case by Mahesh Kakde
Exploration of Ribet's Lemma in the context of residually indistinguishable cases, delving into advanced concepts in arithmetic geometry and modular curves theory.
Iwasawa Theory for Rankin-Selberg L-Function at an Eisenstein Prime
Explores Iwasawa theory for Rankin-Selberg L-functions at Eisenstein primes, delving into advanced arithmetic geometry concepts and their applications in number theory.
Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 1
Explore modular forms, elliptic curves, and modular curves in this advanced lecture. Gain insights into arithmetic geometry and the study of rational points on varieties.
Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 2
Explore advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Gain insights into rational points and their significance in number theory.
Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 4
Explore advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Gain insights from expert Eknath Ghate in this in-depth lecture.
Singular Moduli for Real Quadratic Fields - An Update by Jan Vonk
Explore singular moduli for real quadratic fields with Jan Vonk. Learn about recent developments, theoretical insights, and computational aspects in this advanced arithmetic geometry lecture.
Equidistribution of Matrix Valued Gauss Sums by C. S. Rajan
Explore equidistribution of matrix-valued Gauss sums in this advanced mathematics lecture, delving into arithmetic geometry and modular curves.