Perpendicularity, Polarity and Duality on a Sphere - Universal Hyperbolic Geometry
Explore perpendicularity, polarity, and duality on a sphere, including polar triangles and point-plane duality. Gain insights into elliptic geometry and the relationships between geometric elements.
Clifford Algebras and Time Loops
Explore the fascinating connection between Clifford algebras and time loops, delving into advanced mathematical concepts and their potential implications for understanding spacetime.
The Genesis of Vertex Algebras
Explore the historical development of vertex algebras with Richard Borcherds, covering key concepts like Leech lattice, Dinkin diagrams, and string theory connections.
CoFTs for GLSMs
Explore enumerative invariants for GLSMs, generalizing Gromov-Witten and FJRW theories. Learn about virtual fundamental classes, Atiyah classes, and matrix factorizations in this context.
A Proposal for Open DT Invariants
Explore open DT invariants, refined invariance, and boundary conditions in moduli spaces with Sergei Gukov. Delve into generating series, topological vertex, and infinite projects in this advanced mathematics lecture.
From Turaev to Rokhlin via VOA Characters and Curve Counting
Explore q-series invariants of 3-manifolds, their properties, and connections to topology, vertex algebras, and enumerative problems. Gain insights into recent developments in this mathematical field.
Asymmetry in Dynamics
Explore symmetries in dynamical systems and progress on Smale's conjecture about generic smooth systems having only trivial symmetries. Delve into complex analytic, Hamiltonian, and smooth dynamics.
Knot Polynomials from Chern-Simons Field Theory and Their String Theoretic Implications by P. Ramadevi
Explore knot polynomials, Chern-Simons theory, and string theory connections. Learn about knot classification, invariants, homology, and gauge-string duality in topological strings. Discover M-theory descriptions and brane constructions.
Corinna Ulcigrai - Dynamics and Arithmetics of Higher Genus Surface Flows
Explore dynamics of higher genus surface flows, examining discrete systems, arithmetic conditions, and ergodic integrals. Gain insights into mixing, shearing, and local linearization techniques.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 3
Explore the deep connections between Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more. Uncover the beauty and complexity of these mathematical gems.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 2
Explore connections between Rogers-Ramanujan identities and icosahedron, linking number theory, modular forms, combinatorics, and conformal field theory in an accessible survey for mathematicians.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 1
Explore the deep connections between the Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more in this accessible mathematical lecture.
Dynamical Phase Transitions in Markov Processes by Hugo Touchette
Explore dynamical phase transitions in Markov processes, contrasting with equilibrium transitions and examining a Brownian motion model showcasing localization-delocalization phenomena.
Truth and the Scientific Method by David Gross
Explore the nature of scientific truth, the scientific method's strengths and limitations, and its role in society. Gain insights into reductionism and the challenges facing modern science.
The Science of the Man from the 9 Dimensions
Explore the universe's origins, from the Big Bang to cosmic inflation, and delve into superstring theory's quest for a unified understanding of physics across nine dimensions.
Spacetime, Quantum Mechanics and Positive Geometry by Nima Arkani Hamed
Explore the intersection of spacetime, quantum mechanics, and positive geometry, delving into scattering amplitudes, the mystery of time, and emergent phenomena in theoretical physics.
How Often Does a Polynomial Take Squarefree Values? by Manjul Bhargava
Explore the frequency of squarefree values in polynomials with Manjul Bhargava. Delve into number theory concepts, heuristic explanations, and recent developments in this fascinating mathematical topic.
Quantum Field Theory as the Language of Physics by Nathan Seiberg
Explore quantum field theory's role as the universal language of physics, its applications, limitations, and potential reformulation in this insightful talk by Nathan Seiberg.
The Tropical Limit of String Theory and Feynman Integrals
Explore the intersection of string theory, Feynman integrals, and tropical geometry. Discover how tropical limits provide insights into complex physical phenomena and algebraic structures.
Introduction to Classical and Quantum Integrable Systems by Leon Takhtajan
Explore classical and quantum integrable systems, from historical examples to modern developments. Learn about Hamiltonian mechanics, r-matrix formalism, and the quantum Yang-Baxter equation.
An Introduction to Spectral Data for Higgs Bundles
Explore spectral data for Higgs bundles, a key concept in algebraic geometry and mathematical physics, with insights on integrable systems and moduli spaces.