Tilting Theory Revisited - Developments in Real Grothendieck Groups
Explore recent developments in tilting theory, focusing on real Grothendieck groups and 2-term silting complexes. Gain insights into g-fans, representation theory, and connections with canonical decompositions.
New Signed Bijections Pertaining to Alternating Sign Matrices and Gelfand-Tsetlin Patterns
Delve into advanced mathematical concepts exploring signed bijections, alternating sign matrices, and Gelfand-Tsetlin patterns through rigorous theoretical analysis and problem-solving approaches.
The Positive Grassmannian, the Amplituhedron, and Cluster Algebras
Explore the positive Grassmannian and amplituhedron, delving into their combinatorial structures and connections to physics, integrable systems, and scattering amplitudes using oriented matroids, tropical geometry, and cluster algebras.
Representations of Acyclic Quivers and Auslander-Reiten Sequences - Lecture 1
Explore representations of acyclic quivers, Auslander-Reiten sequences, and the Caldero-Chapoton formula in this advanced mathematics lecture on cluster algebras and quiver representations.
Shadow Sequences of Integers
Explore integer shadow sequences, cluster algebras, and supergeometry in this advanced mathematics talk, delving into coordinate transformations and hypergraphs.
Cluster Algebra Structures from Decorated Super-Teichmüller Spaces
Explore cluster algebra structures derived from decorated super-Teichmüller spaces, examining dimer models and labels in the context of supergeometry and bracket structures.
Deformation Theory for Finite Cluster Complexes
Explore geometric relationships between cluster varieties and complexes, focusing on finite cluster types with universal coefficients and their connection to Hilbert schemes via torus actions.
Cluster Algebras and Mirror Symmetry - Lecture 2
Explore connections between cluster algebras and mirror symmetry in algebraic geometry, delving into advanced mathematical concepts and their applications.
Cluster Algebras and Mirror Symmetry - Lecture 1
Explore the intricate connection between cluster algebras and mirror symmetry in mathematics, delving into advanced concepts and their applications in algebraic geometry.
A Geometric Model for the Bounded Derived Category of a Gentle Algebra - Sibylle Schroll Lecture 3
Explore geometric models for bounded derived categories of gentle algebras, their role in cluster algebras and homological mirror symmetry, and connections to partially wrapped Fukaya categories.
A Geometric Model for the Bounded Derived Category of a Gentle Algebra - Sibylle Schroll
Explore geometric models for gentle algebras' derived categories, connecting algebra to surface topology and line fields. Gain insights into representation theory and homological mirror symmetry.
Introduction to Cluster Algebras - Part 1
Explore cluster algebras, quivers, and mutation through examples, with a focus on the Grassmannian. Gain insights into this fundamental algebraic structure and its applications.
Clusters and Weaves in Mathematical Structures
Explore mathematical connections between cluster algebras and weaves, delving into their structures and applications in algebraic geometry and representation theory.
Cluster Algebras and Monotone Lagrangian Tori
Explore the connection between cluster algebras and monotone Lagrangian tori in this advanced mathematics talk, delving into complex geometric structures and algebraic relationships.
Introduction to Lagrangian Fillings of Legendrian Links - Part 1
Explore Lagrangian fillings of Legendrian links, their construction, and techniques to distinguish Hamiltonian isotopy classes. Delve into the connection with cluster algebras and key proof elements.
Applications of the Relation Between Cluster Algebras and Symplectic Topology - Part 2
Explore applications of cluster algebras in symplectic topology, including detection of Lagrangian fillings and holomorphic symplectic structures. Examine implications for Richardson varieties and quasi-cluster structures.
Cluster Algebras Associated to Bott-Samelson Braids
Explore cluster algebras associated with Bott-Samelson braids, focusing on Legendrian links and their connection to algebraic varieties and Lagrangian fillings. Discover weaves and their computational applications.
Cluster Algebras for General Braid Varieties
Explore cluster algebras on braid varieties using weaves, Lusztig cycles, and symplectic topology. Gain insights into localization processes and A=U proof through Lie-theoretic and combinatorial perspectives.
A∞-Categories
Explore A∞-categories in mathematics with Rafael Bocklandt's comprehensive lecture, delving into advanced concepts in representation theory and algebra.
Cluster Algebras and the Amplituhedron - Definition - Lecture 1
Explore cluster algebras and the amplituhedron definition with Lauren K. Williams in this advanced mathematics conference talk from CIRM's Audiovisual Mathematics Library.
Cluster Algebras with Coefficients and Relative Calabi-Yau Structures
Explore cluster algebras with coefficients and relative Calabi-Yau structures in this advanced mathematics lecture by Bernhard Keller at CIRM's thematic meeting.