Dimer Models and Random Tilings - Part 1
Explore dimer models and random tilings with Cédric Boutillier. Learn about Kasteleyn's theory, combinatorial correspondences, and asymptotic methods for studying perfect matchings on lattices.
Combinatorial Conjectures and Algebraic Tools - January 30, 2024
Explore combinatorial conjectures like Grünbaum and g-conjectures, and their connections to deeper algebraic properties in this insightful overview.
Property (T) for Fiber and Semidirect Products - Lecture by Arghya Mondal
Explore Property (T) for fiber and semidirect products in this mathematical lecture, delving into advanced concepts in group theory and their applications.
Rigidity and Stiffness of Arithmetic Groups
Explore rigidity and stiffness properties of arithmetic groups, examining recent advancements in Zariski-dense subgroup theory and its applications to geometry and number theory.
Sum of Squares, Positivity and Property (T) - Lecture 1
Explore sum of squares, positivity, and Property (T) in this lecture by Marek Kaluba. Gain insights into advanced mathematical concepts and their applications in group theory and geometry.
Arithmetic Groups of Higher Real Rank Are Not Left-orderable
Explore the non-left-orderability of arithmetic groups with higher real rank in this mathematical lecture, delving into advanced concepts in group theory and algebraic structures.
Hypergeometric Groups and their Arithmeticity
Explore hypergeometric groups and their arithmeticity in this advanced mathematics lecture, delving into Zariski-dense subgroups and their applications in geometry and number theory.
Non-virtually Abelian Discontinuous Group Actions vs Proper SL(2,R)-Actions - Aleksy Tralle
Explore non-virtually Abelian discontinuous group actions and proper SL(2,R)-actions in this advanced mathematics lecture, part of a program on Zariski dense subgroups and geometric applications.
Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 2
Explore advanced topics in linear groups and Diophantine approximation, focusing on bounded generation and its applications in number theory and geometric analysis.
Introduction to Bruhat-Tits Theory - Lecture 2
Explore Bruhat-Tits theory in this advanced mathematics lecture, focusing on Zariski dense subgroups and their applications in algebraic geometry and number theory.
Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 3
Explore advanced concepts in linear groups and Diophantine approximation, focusing on bounded generation techniques and their applications in number theory and geometric analysis.
Things We Can Learn by Looking at Random Manifolds
Explore insights gained from studying random manifolds, covering applications in geometry, topology, and mathematical physics. Uncover connections between diverse mathematical fields.
Uniform Stability of Higher-rank Arithmetic Groups - Lecture 1
Explore uniform stability in higher-rank arithmetic groups with Alex Lubotzky & Bharatram. Delve into advanced mathematical concepts and their applications in this in-depth lecture.
Random Walks on Group Extensions
Explore random walks on group extensions in this advanced mathematics lecture, covering Zariski dense subgroups and their applications in algebraic geometry and number theory.
Property (T) for Automorphism Groups of Free Groups - Lecture 2
Explore Property (T) for automorphism groups of free groups in this advanced mathematics lecture, part of a program on Zariski dense subgroups and their applications in geometry and number theory.
Sum of Squares, Positivity and Property (T) - Lecture 1
Explore sum of squares, positivity, and Property (T) in this lecture by Marek Kaluba. Gain insights into advanced mathematical concepts and their applications in group theory and geometry.
Thin Orbits and Applications
Explore thin orbits in number theory and their geometric applications with Alex Kontorovich. Gain insights into Zariski-dense subgroups and their impact on various mathematical fields.
Minicourse: Uniform Stability of Higher-rank Arithmetic Groups - Lecture 3
Explore uniform stability in higher-rank arithmetic groups. Delve into advanced mathematical concepts, focusing on Zariski dense subgroups and their applications in geometry and number theory.
Perfect t-embeddings of Uniform Aztec Diamond Graphs
Explores t-embeddings of uniform Aztec diamond graphs, providing new formulas and asymptotic analysis to prove convergence of dimer model height fluctuations to a Gaussian Free Field.
Dimer Models and Random Tilings - Part 2
Explore dimer models, perfect matchings, and tilings with advanced mathematical tools. Delve into Kasteleyn's theory, combinatorial correspondences, and asymptotic methods for large-scale limits.
Bipartite Graphs in Tn and Toric Mirror Symmetry
Explore bipartite graphs in Tn and their role in toric mirror symmetry, focusing on combinatorial descriptions of homological mirror symmetry and coherent sheaves on toric varieties.