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Seminar Higher Verlinde categories
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Seminar Flatness of alpha-induced bi-unitary connections and commutativity of Frobenius algebras
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Seminar From link homology to TFTs
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Summer Graduate School Analysis of Partial Differential Equations (Okinawa Institute of Science and Technology)
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- Ugur Abdulla: Course II – Lecture 1: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs"
- Ugur Abdulla: Course II – Lecture 2/Active Learning Session (als): "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs"
- Ugur Abdulla: Course II - Lecture 3: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs III"
- Ugur Abdulla: Course II – Lecture 4/als: " Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs IV"
- Gui-Qiang Chen, Monica Torres: Course I – Lecture 1: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form I"
- Gui-Qiang Chen, Monica Torres: Course I – Lecture 2/als: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form II"
- Gui-Qiang Chen, Monica Torres: Course I - Lecture 3: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form III"
- Gui-Qiang Chen, Monica Torres: Course I – Lecture 4/als: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form IV"
- Ugur Abdulla: Course II – Lecture 5: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs V"
- Ugur Abdulla: Course II – Lecture 6/ als: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs VI"
- Gui-Qiang Chen: Plenary Lecture: TBA
- Gui-Qiang Chen, Monica Torres: Course I - Lecture 5: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form V"
- Gui-Qiang Chen, Monica Torres: Course I – Lecture 6/als: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form VI"
- Ugur Abdulla: Course II – Lecture 7: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs VII"
- Ugur Abdulla: Course II – Lecture 8/ als: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs VIII"
- Gui-Qiang Chen, Monica Torres: Course I - Lecture 7: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form VII"
- Gui-Qiang Chen, Monica Torres: Course I – Lecture 8/als: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form VIII"
- Ugur Abdulla: Course II – Lecture 9: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs IX"
- Ugur Abdulla: Course II – Lecture 10/ als: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs "
- Gui-Qiang Chen, Monica Torres: Course I - Lecture 9: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form IX"
- Gui-Qiang Chen, Monica Torres: Course I – Lecture 10/als: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form X"
- Gui-Qiang Chen, Monica Torres: Course I - Lecture 11: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form XI"
- Gui-Qiang Chen, Monica Torres: Course I – Lecture 12/als: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form XII"
- Ugur Abdulla: Course II – Lecture 11: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs XI"
- Ugur Abdulla: Course II – Lecture 12/als: 'Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs XII"
- Gui-Qiang Chen, Monica Torres: Course I - Lecture 13: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form XIII"
- Gui-Qiang Chen, Monica Torres: Lecture 14/als: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form XIV"
- Ugur Abdulla: Course II – Lecture 13: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs XIII"
- Ugur Abdulla: Course II – Lecture 14/als: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs XIV"
- Ugur Abdulla: Course II - Lecture 15: "Peron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs XV"
- Course I – Lecture 15. Gui-Qiang Chen & Monica Torres, Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form XV
- Gui-Qiang Chen, Monica Torres: Course I - Lecture 16: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form XVI"
- Gui-Qiang Chen, Monica Torres: Course I – Lecture 17/als: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form XVII"
- Ugur Abdulla: Course II – Lecture 16: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs XVI"
- Ugur Abdulla: Course II – Lecture 17/als: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs XVII"
- Gui-Qiang Chen, Monica Torres: Course I - Lecture 18: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form XVIII"
- Gui-Qiang Chen, Monica Torres: Course I – Lecture 19/als: "Measure-theoretical analysis, divergence-measure fields, and nonlinear PDEs of divergence form XIX"
- Ugur Abdulla: Course II – Lecture 18: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs XVIII"
- Ugur Abdulla: Course II – Lecture 19/als: "Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs XIX"
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Summer Graduate School Multigraded and differential graded methods in commutative algebra (St. Mary's College)
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- Michael Brown: Lecture
- Claudia Miller: Lecture
- Michael Brown: Lecture
- Claudia Miller: Lecture
- Michael Brown: Lecture
- Claudia Miller: Lecture
- Michael Brown: Lecture
- Claudia Miller: Lecture
- Michael Brown: Lecture
- Claudia Miller: Lecture
- Michael Brown: Lecture
- Claudia Miller: Lecture
- Michael Brown: Lecture
- Claudia Miller: Lecture
- Michael Brown: Lecture
- Claudia Miller: Lecture
- Michael Brown: Lecture
- Claudia Miller: Lecture
- Michael Brown: Lecture
- Claudia Miller: Lecture
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Seminar Quantum A-polynomials and cluster quantization
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Seminar Deformations of tensor categories generated by one object
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Seminar On algebraisation of low-dimensional Topology
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Seminar Lie theory in tensor categories with applications to modular representation theory
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Seminar Integrability from Categories?
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Seminar A braided tensor 2-category from link homology
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Seminar Subfactors and quantum symmetries
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Summer Graduate School Mathematics of General Relativity and Fluids (FORTH, Greece)
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- Mihalis Dafermos: Lecture: Chapter 1 of ETH lecture notes
- Mihalis Dafermos: Lecture: Black holes I
- Juhi Jang: Lecture: Compressible Euler flows
- Mihalis Dafermos: Lecture: Black holes II
- Juhi Jang: Lecture: Vacuum Free boundary problems
- Juhi Jang: Lecture: Vaccum Free boundary problems II
- Igor Rodnianski: Lecture: Fluids I
- Igor Rodnianski: Lecture: Fluids II
- Demetrios Christodoulou: Lecture: Mathematical Methods Arising in the Problem of Shock Development in Fluids I
- Mihalis Dafermos: Lecture: Linear Waves on Black Holes I
- Igor Rodnianski: Lecture: Naked Singularities in vacuum I
- Demetrios Christodoulou: Lecture: Mathematical Methods Arising in the Problem of Shock Development in Fluids II
- Igor Rodnianski: Lecture: Naked singularities in vacuum II
- Demetrios Christodoulou: Lecture: Mathematical Methods Arising in the Problem of Shock Development in Fluids III
- Juhi Jang: Lecture: Naked singularities Einstein-Euler
- Mihalis Dafermos: Lecture: Waves on Black Holes II and the stability problem
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Seminar Lecture: "Continuous quantum symmetries"
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Seminar Lecture
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Seminar Lecture
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Seminar Lecture
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Summer Graduate School Introduction to the Theory of Algebraic Curves (UC Berkeley)
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- Isabel Vogt: Introduction to linear series on curves
- Hannah Larson: Introduction to moduli
- Eric Larson: Examples of low genus curves in projective space
- Izzet Coskun: Low genus canonical curves
- Hannah Larson: Properties of the moduli space of smooth curves
- Isabel Vogt: Introduction to Brill--Noether theory
- Hannah Larson: Introduction to stable curves
- Eric Larson: The dualizing sheaf
- Isabel Vogt: Introduction to Brill-Noether theory via degeneration
- Izzet Coskun: Introduction to deformation theory I
- Hannah Larson: Stable reduction I
- Isabel Vogt: Proof of Brill-Noether nonexistence
- Eric Larson: Introduction to deformation theory II
- Hannah Larson: Combinatorics of the boundary of M_g-bar
- Isabel Vogt: Introduction to limit linear series
- Izzet Coskun: Proof of Brill-Noether existence
- Hannah Larson: Intro to intersection theory of M_g and M_{g,n}-bar
- Izzet Coskun: Normal bundles of curves I
- Isabel Vogt: Global aspects of Brill-Noether theory
- Eric Larson: Normal bundles of curves II
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Summer Graduate School H-principle (Sendai, Japan)
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- Emmy Murphy: H-principles in smooth topology: 1) h-principle philosophy, examples, and holonomic approximation statement
- Dominik Inauen: Riemannian geometry and applications to fluid dynamics: The Nash-Kuiper theorem 1: historical background, proof idea and "stage" proposition
- Emmy Murphy: H-principles in smooth topology: 2) Proof of holonomic approximation, and applications
- Dominik Inauen: Riemannian geometry and applications to fluid dynamics: The Nash-Kuiper theorem 2: decomposition into primitive metrics, normal vector fields and proof of the stage proposition
- Emmy Murphy: H-principles in smooth topology 3): Convex integration, directed immersions
- Dominik Inauen: Riemannian geometry and applications to fluid dynamics: The Nash-Kuiper theorem 3: "quantitative" version of stage proposition and C^{1,\alpha} isometries
- Emmy Murphy: H-principles in smooth topology: 4) Wrinkled maps
- Dominik Inauen: Riemannian geometry and applications to fluid dynamics: 4) Euler equations: weak solutions, energy conservation and the Euler-Reynolds system
- Emmy Murphy: H-principles in smooth topology: 5) Convex integration and wrinkling for embeddings
- Dominik Inauen: Riemannian geometry and applications to fluid dynamics: 5) Euler equations: convex integration scheme for continuous dissipative Euler flows
- Emmy Murphy: Contact and symplectic flexibility: 1) Intro to contact and symplectic geometry
- Takashi Tsuboi: Foliation theory and diffeomorphism groups: 1) Definitions of foliations and examples. Foliations of the 2-dimensional torus
- Emmy Murphy: Contact and symplectic flexibility: 2) h-principles for isotropic immersions/embeddings, isosymplectic/isocontac
- Takashi Tsuboi: Foliation theory and diffeomorphism groups: 2) Invariants of plane fields. Holonomy of foliations. The Bott vanishing theorem. The Godbillon-Vey invariant
- Emmy Murphy: Contact and symplectic flexibility: 3) Overtwisted 3-manifolds
- Takashi Tsuboi: Foliation theory and diffeomorphism groups: 3) The h-principle for Diff V invariant differential relations and the h-principle for submersions and the theorem of Phillips
- Emmy Murphy: Contact and symplectic flexibility: 4) Loose Legendrians and flexible Weinstein manifolds
- Takashi Tsuboi: Foliation theory and diffeomorphism groups: 4) Definition of Haefliger's Gamma structures and Haefliger's theorem on foliations of open manifolds
- Emmy Murphy: Contact and symplectic flexibility: 5) Recent results: overtwistedness and convex surface theory in high dimensions
- Takashi Tsuboi: Foliation theory and diffeomorphism groups: 5) Thurston's theorem on the classification of foliations. The Mather-Thurston theory
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Summer Graduate School Koszul Duality in the Local Langlands Program (St. Mary's College)
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- Peng Shan: Introduction to Hecke algebras
- Peng Shan: Second Lecture
- Wolfgang Soergel: First Lecture
- Wolfgang Soergel: Second Lecture
- Peng Shan: Third Lecture
- Peng Shan: Fourth lecture
- Wolfgang Soergel: Third lecture
- Peng Shan: Fifth Lecture
- Wolfgang Soergel: Fourth Lecture
- Wolfgang Soergel: Fifth Lecture
- Wolfgang Soergel: Sixth Lecture
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Summer Graduate School Stochastic Quantization (SLMath)
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- Hao Shen, Lorenzo Zambotti: From quantum mechanics to measures
- Hao Shen, Lorenzo Zambotti: Euclidean quantum field theory and Gaussian free field
- Hao Shen, Lorenzo Zambotti: Langevin dynamic on finite lattice
- Hao Shen, Lorenzo Zambotti: Stationary coupling, existence of infinite volume limit
- Hao Shen, Lorenzo Zambotti: Convergence to equilibrium / uniqueness of infinite volume limit
- Hao Shen, Lorenzo Zambotti: Integration by parts, Wick theorem, Introduction to small scale limit
- Hao Shen, Lorenzo Zambotti: Small scale limit - probabilistic estimates
- Hao Shen, Lorenzo Zambotti: Small scale limit - PDE estimates
- Massimiliano Gubinelli: $\Phi^4_2$ without cutoffs, computations with stochastic terms (like the cube)
- Hao Shen: Perturbation theory for $\Phi^4_2$, Part I
- Hao Shen: Perturbation theory for $\Phi^4_2$, Part II
- Massimiliano Gubinelli: $\Phi^4_3$, paracontrolled energy estimates
- Massimiliano Gubinelli: $\Phi^4_3$, the second renormalization and commutator lemmas
- Hao Shen: Subgaussian tails for $\Phi^4_2$
- Hao Shen: The Abelian Higgs model in two dimensions, local theory
- Massimiliano Gubinelli: $\Phi^4_3$, tightness, infinite volume limit and some properties of the measure#
- Hao Shen: An invitation to nonabelian gauge theories
- Massimiliano Gubinelli: Stochastic estimates in $\Phi^4_3$
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Summer Graduate School Introduction to Quantum-Safe Cryptography (IBM Zurich)
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- Vadim Lyubashevsky: Lattices
- Chloe Martindale: Isogenies
- Chloe Martindale: Isogenies
- Vadim Lyubashevsky: Lattices
- Vadim Lyubashevsky: Lattices
- Chloe Martindale: Isogenies
- Chloe Martindale: Isogenies
- Vadim Lyubashevsky: Lattices
- Vadim Lyubashevsky: Lattices
- Chloe Martindale: Isogenies
- Thomas Débris-Alazard: Codes
- Simona Samardjiska: Multivariate Codes
- Simona Samardjiska: Multivariate
- Thomas Débris-Alazard: Codes
- Thomas Débris-Alazard: Codes
- Simona Samardjiska: Multivariate
- Simona Samardjiska: Multivariate
- Thomas Débris-Alazard: Codes
- Thomas Débris-Alazard: Codes
- Simona Samardjiska: Mulitvariate
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Summer Graduate School Special Geometric Structures and Analysis (St. Mary's College)
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- Xuwen Zhu: Geometric Microlocal Analysis Lecture 1
- Xuwen Zhu: Geometric Microlocal Analysis Lecture 1
- Xuwen Zhu: Geometric Microlocal Analysis Lecture 2
- Xuwen Zhu: Geometric Microlocal Analysis Lecture 2
- Xuwen Zhu: Geometric Microlocal Analysis Lecture 3
- Xuwen Zhu: Geometric Microlocal Analysis Lecture 3
- Xuwen Zhu: Geometric Microlocal Analysis Lecture 4
- Xuwen Zhu: Geometric Microlocal Analysis Lecture 4
- Alessandro Pigati: Geometric Measure Theory Lecture 1
- Alessandro Pigati: Geometric Measure Theory Lecture 1
- Alessandro Pigati: Geometric Measure Theory Lecture 2
- Alessandro Pigati: Geometric Measure Theory Lecture 2
- Alessandro Pigati: Geometric Measure Theory Lecture 3
- Alessandro Pigati: Geometric Measure Theory Lecture 3
- Alessandro Pigati: Geometric Measure Theory Lecture 4
- Alessandro Pigati: Geometric Measure Theory Lecture 4
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Summer Graduate School Particle interactive systems: Analysis and computational methods (SLMath)
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- Chiara Saffirio: From Newton to Boltzmann: "The Boltzman equation and the Boltzmann-Grad limit"
- Chiara Saffirio: From Newton to Boltzmann: "Lanford's derivation of the Boltzmann equation. A toy model: the Lorentz gas"
- Irene M. Gamba: Kinetic collisional theory analysis and applications: "An introduction to the Classical Boltzmann equation: Non-local multilinear forms, collisional laws and flow invariants, entropies and associated hydrodynamics equations"
- Irene M. Gamba: Kinetic collisional theory analysis and applications: "The Cauchy problem for ODEs in Banach space associated to non-local collisional flows. Coerciveness and upper bounds: Existence and uniqueness theory"
- Chiara Saffirio: From Newton to Boltzmann: "The Lorentz gas in the Boltzmann-Grad limit"
- Chiara Saffirio: From Newton to Boltzmann: "Markovianity and non-Markovianity. Recent developments and open questions"
- Irene M. Gamba: Kinetic collisional theory analysis and applications: "Propagation and generation of polynomial and exponential moments. Propagation of Sobolev regularity and boundedness"
- Irene M. Gamba: Kinetic collisional theory analysis and applications: "Applications to gas dynamics and mean field plasma model"
- Francois Golse: Kinetic and Hydrodynamic Models with Radiation: “Radiative Transfer and Diffusion Limit”
- Francois Golse: Kinetic and Hydrodynamic Models with Radiation: “Rosseland Approximation. Boltzmann Equation and Fluid Dynamics: Basic Structure”
- Francois Golse: Kinetic and Hydrodynamic Models with Radiation: “From the Boltzmann Equation to Fluid Dynamics
- Francois Golse: Kinetic and Hydrodynamic Models with Radiation: “Topics on Radiative Transfer in Fluids”
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MSRI-UP MSRI-UP 2024: Mathematical Endocrinology
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