Graph and Hypergraph Sparsification - Luca Trevisan
Explore graph and hypergraph sparsification techniques with Luca Trevisan, covering spectral definitions, irregular graphs, and unweighted graphs. Gain insights into advanced discrete mathematics concepts.
Geodesically Convex Optimization - Can We Prove P!=NP Using Gradient Descent - Avi Wigderson
Explore geodesically convex optimization and its potential to prove P≠NP using gradient descent in this advanced seminar by renowned mathematician Avi Wigderson.
Steps Towards More Human-Like Learning in Machines - Josh Tenenbaum
Explore how machines can achieve more human-like learning through probabilistic programming, intuitive psychology, and simulation engines. Discover insights on core knowledge and one-shot learning in AI.
The Singular Set in the Fully Nonlinear Obstacle Problem - Ovidiu Savin
Explore the singular set in fully nonlinear obstacle problems, focusing on free boundaries, monotonicity, and parametric inequalities with expert Ovidiu Savin.
Flows of Vector Fields: Classical and Modern - Camillo DeLellis
Explore classical and modern theories of vector field flows, covering key concepts, examples, and recent developments in analysis and differential equations.
On the Kudla-Rapoport Conjecture - Chao Li
Explore the Kudla-Rapoport conjecture, Hurwitz class numbers, and their connections to Eisenstein series and L-functions in this advanced number theory seminar by Chao Li.
Meta-Learning - Why It’s Hard and What We Can Do - Ke Li
Explore meta-learning challenges and solutions with Ke Li, covering optimization, model selection, and program induction in this theoretical machine learning seminar.
Introduction to High Dimensional Expanders - Irit Dinur
Explore high dimensional expanders with Irit Dinur, covering random walks, spectral expansion, and hypergraphs. Gain insights into this advanced topic in discrete mathematics and computer science.
Towards a Mathematical Model of the Brain - Lai-Sang Young
Explore mathematical approaches to modeling brain dynamics, from local neural populations to complex cognitive functions, with insights on synchronization, memory, and visual processing.
An Introduction to Boolean Function Analysis - Dor Minzer
Explore Boolean function analysis, covering influences, PCP theory, and hypercontractive inequalities. Gain insights into fundamental concepts and advanced techniques in discrete mathematics and theoretical computer science.
Lower Bounds in Complexity Theory, Communication Complexity, and Sunflowers - Toniann Pitassi
Explore lower bounds in complexity theory, communication complexity, and sunflowers. Delve into Boolean circuits, formulas, and key lemmas with expert insights from Toniann Pitassi.
Observable Events and Typical Trajectories in Dynamical Systems - Lai-Sang Young
Explore observable events and typical trajectories in dynamical systems with Lai-Sang Young, covering SRB measures, attractors, and infinite dimensional center manifolds.
Strong Average-Case Circuit Lower Bounds from Non-trivial Derandomization - Lijie Chen
Explore advanced topics in computational complexity, including circuit lower bounds, derandomization, and their connections. Gain insights into cutting-edge research and theoretical developments in computer science.
Proofs, Circuits, Communication, and Lower Bounds in Complexity Theory - Robert Robere
Explore advanced concepts in complexity theory, including proofs, circuits, and communication, with a focus on lower bounds and their implications for computational limits.
MIP* = RE - Henry Yuen
Explore quantum correlations, nonlocal games, and entanglement models in this seminar on MIP* = RE, delving into complexity theory and efficient tests for quantum phenomena.
Eisenstein Series and the Cubic Moment for PGL(2) - Paul Nelson
Explore Eisenstein series, cubic moments for PGL(2), and their applications in number theory. Gain insights into spectral expansions, hypergeometric functions, and improved bounds.
Inverse Problems for Quantum Graphs - Pavel Kurasov
Explore inverse problems for quantum graphs, covering Ambartsumian-type results, trace formulas, and implications for various graph structures. Gain insights into local inverse problems and explicit formulas.
Teasing Out the True Milky Way
Explore the structure and dynamics of our galaxy with Harvard astrophysicist Alyssa Goodman. Discover recent findings like the Radcliffe Wave and learn about innovative techniques for mapping the Milky Way.
On the Gradient-Flow Structure of Multiphase Mean Curvature Flow - Tim Laux
Explore the gradient-flow structure of multiphase mean curvature flow, covering theoretical aspects, previous work, and key concepts in this advanced mathematical analysis seminar.
The H-Principle in Symplectic Geometry - Emmy Murphy
Explore symplectic geometry's h-principle with Emmy Murphy, covering equivalence relations, subharmonic functions, and contact structures in this advanced mathematical seminar.
Treelike Geometries and Fast Scrambling from Nonlocal Spin Models - Gregory Bentsen
Explore treelike geometries and fast scrambling in nonlocal spin models, delving into quantum spacetime, artificial spacetime, and optical cavities with numerical simulations and experimental insights.