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Week1
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Week2
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Model uncertainty and validation>Model uncertainty and validation
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Variable selection in linear regression through adaptive penalty selection>Variable selection in linear regression through adaptive penalty selection
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Week3
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Nonlinear Phenomena: A View From Mathematics And Physics>Nonlinear Phenomena: A View From Mathematics And Physics
Some Examples of the Interaction of Physics and Mathematics, and Some Open Problems>Some Examples of the Interaction of Physics and Mathematics, and Some Open Problems
Some Symmetry Results for the Ginzburg Landau Equations>Some Symmetry Results for the Ginzburg Landau Equations
Gradient Systems of Phase Transitions>Gradient Systems of Phase Transitions
Vortex Lattice Theory: A Particle Interaction Perspective>Vortex Lattice Theory: A Particle Interaction Perspective
Planar Turbulent Euler Flows with Singularities>Planar Turbulent Euler Flows with Singularities
Existence Results for the Self-dual Chern-Simons O(3) Sigma Model>Existence Results for the Self-dual Chern-Simons O(3) Sigma Model
Solitary Waves and Vortices in Non-abelian Gauge Theories>Solitary Waves and Vortices in Non-abelian Gauge Theories
11
Geography arising from the 3-dimensaral birational geometry>Geography arising from the 3-dimensaral birational geometry
Geometric quantization, reduction and induction>Geometric quantization, reduction and induction
Kottwitz-Rapoport strata of Hilbert-Blumenthal moduli spaces with paraboric level structure >Kottwitz-Rapoport strata of Hilbert-Blumenthal moduli spaces with paraboric level structure
Vanishing theorems and their applications>Vanishing theorems and their applications
Hylomorphic Solitons>Hylomorphic Solitons
Sharp Constants in Several Inequalities on the Heisenberg Group>Sharp Constants in Several Inequalities on the Heisenberg Group
Blow Up in A Chemotaxis Model and beyond joint work with Y.Sugiyama and J.J.L. Velazquez>Blow Up in A Chemotaxis Model and beyond joint work with Y.Sugiyama and J.J.L. Velazquez
Gross-Neveu Gap Equations and Integrable Models>Gross-Neveu Gap Equations and Integrable Models
Uniqueness Results for A Class of Meanfield Equations>Uniqueness Results for A Class of Meanfield Equations
Existence of Topological Solutions in the Self-dual Gauge Theories via Super and Subsolution Method>Existence of Topological Solutions in the Self-dual Gauge Theories via Super and Subsolution Method
On the Relation Between Scaling Properties of Functionals and Existence of Constrained Minimizers>On the Relation Between Scaling Properties of Functionals and Existence of Constrained Minimizers
Miniworkshop of Algebra >Miniworkshop of Algebra
12
Vanishing theorems and their applications>Vanishing theorems and their applications
Topics in polynomial rings>Topics in polynomial rings
The arithmetic structure and power structure of finite p-groups>The arithmetic structure and power structure of finite p-groups
Geography arising from the 3-dimensaral birational geometry>Geography arising from the 3-dimensaral birational geometry
Long Time Behavior for for Some Non-linear Evolutions Involving Entropy and the 2D Newtonian Potential>Long Time Behavior for for Some Non-linear Evolutions Involving Entropy and the 2D Newtonian Potential
Bubbling Solutions for A Chern-Simon Model in A Torus>Bubbling Solutions for A Chern-Simon Model in A Torus
On the Best Pinching Constant of Conformal Metrics with One and Two Conical Singularities on S^2>On the Best Pinching Constant of Conformal Metrics with One and Two Conical Singularities on S^2
Geometric quantization, reduction and induction>Geometric quantization, reduction and induction
13
Topics in polynomial rings>Topics in polynomial rings
Kottwitz-Rapoport strata of Hilbert-Blumenthal moduli spaces with paraboric level structure>Kottwitz-Rapoport strata of Hilbert-Blumenthal moduli spaces with paraboric level structure
Vortices in Non-Abelian Gauge Field Theory>Vortices in Non-Abelian Gauge Field Theory
Binding, Stablity, and Non-binding of Multi-polaron Systems>Binding, Stablity, and Non-binding of Multi-polaron Systems
Improved Moser-Trudinger Inequalities and Singular Liouville Equations>Improved Moser-Trudinger Inequalities and Singular Liouville Equations
Conformal Symmetries of the Euler Fluid Equations>Conformal Symmetries of the Euler Fluid Equations
On the Existence of Hyperbolic Monopoles>On the Existence of Hyperbolic Monopoles
Mathematics and Physics of Non-Abelian Vortices: A Key to Themysteries of Non-Abelian Monopoles>Mathematics and Physics of Non-Abelian Vortices: A Key to Themysteries of Non-Abelian Monopoles
14
The arithmetic structure and power structure of finite p-groups>The arithmetic structure and power structure of finite p-groups
An Overview of Accelerated Life-testing Reliability Experiments for Various Types of Data>An Overview of Accelerated Life-testing Reliability Experiments for Various Types of Data
``Brandt-Neri'' Instability of Non-Abelian Monopoles>``Brandt-Neri'' Instability of Non-Abelian Monopoles
1-D Quintic NLS with White Noise Dispersion>1-D Quintic NLS with White Noise Dispersion
Critical Points of Green Functions on Flat Tori>Critical Points of Green Functions on Flat Tori
Dynamic Transition Theory and its Application to Gas-Liquid Phase Transitions>Dynamic Transition Theory and its Application to Gas-Liquid Phase Transitions
Applications of an orbifold version of Viehweg’s semipositivity theorem>Applications of an orbifold version of Viehweg’s semipositivity theorem
15
Week4
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Variation of Hodge structures, period maps, and monodromy>Variation of Hodge structures, period maps, and monodromy
19
Mixed Hodge structures and Mixed Hodge complexes of sheaves>Mixed Hodge structures and Mixed Hodge complexes of sheaves
Nilpotent orbit theorem I>Nilpotent orbit theorem I
20
Canonical mixed Hodge structure on cohomology groups of smooth algebraic varieties>Canonical mixed Hodge structure on cohomology groups of smooth algebraic varieties
Nilpotent orbit theorem II>Nilpotent orbit theorem II
Introduction to Fan-Jarvis-Ruan-Witten theory>Introduction to Fan-Jarvis-Ruan-Witten theory
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Week5
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Canonical mixed Hodge structure on cohomology groups of algebraic varieties I>Canonical mixed Hodge structure on cohomology groups of algebraic varieties I
SL_2-orbit theorem I>SL_2-orbit theorem I
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Canonical mixed Hodge structure on cohomology groups of algebraic varieties II>Canonical mixed Hodge structure on cohomology groups of algebraic varieties II
SL_2-orbit theorem II>SL_2-orbit theorem II
27
Local invariant cycle theorem and Clemens-Schmid exact sequence>Local invariant cycle theorem and Clemens-Schmid exact sequence
Classification of the central fiber of a semistable degeneration of K3 surfaces>Classification of the central fiber of a semistable degeneration of K3 surfaces
Toward Algebraic geometry of Gauged Linear Sigma model in A side>Toward Algebraic geometry of Gauged Linear Sigma model in A side
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A generalization of Hodge structures and oscillating integrals>A generalization of Hodge structures and oscillating integrals
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Week6
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