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Workshop Advances in Homogeneous Dynamics
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- Amir Mohammadi: Effective equidistribution of certain adelic periods
- Nalini Anantharaman: Quantum ergodicity on large graphs
- Hee Oh: Geodesic planes in hyperbolic 3-manifolds
- Lei Yang: Equidistribution of expanding translates of curves in homogeneous spaces and its application to Diophantine approximation.
- Shirali Kadyrov: Entropy in the cusp and singular systems of linear forms
- Alireza Golsefidy: Local spectral gap
- Alexander Gorodnik: Randomness in Diophantine approximation
- Corinna Ulcigrai: Genericity along curves and applications
- Peter Varju: Bernoulli convolutions for algebraic parameters
- Michael Magee: Counting and dynamics in SL_2
- Hillel Furstenberg: Diophantine approximation for algebraic numbers
- Emmanuel Breuillard: Metric diophantine approximation on Lie groups
- Uri Shapira: Escape of mass for measures invariant under the diagonal group
- Gregory Margulis: Oppenheim conjecture and related problems
- Elon Lindenstrauss: Effective density of unipotent orbits
- Marc Burger: On integer points in the Hitchin moduli space
- Federico Rodriguez Hertz: Random Dynamics and a formula for Furstenberg, Kullback-Ledrappier Entropy
- Ilya Gekhtman: Word metric asymptotics for actions of hyperbolic groups on Gromov hyperbolic spaces
- Han Li: Some Effective Estimates in Reduction Theory of Quadratic Forms
- François Ledrappier: Bottom of spectrum and equivariant family of measures at the boundary in negative curvature.
- Jean-François Quint: Random walks on semisimple groups
- Zhiren Wang: Global rigidity of Anosov actions by higher rank lattices
- Maryam Mirzakhani: Dynamics on the moduli space of flat structures
- Andreas Strombergsson: Kinetic transport in quasicrystals
- Alex Eskin: Stiffness for Random Walks on Locally symmetric spaces
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Workshop Dynamics on Moduli Spaces
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- Richard Canary: Convergence of quasifuchsian hyperbolic 3-manifolds
- Andrés Sambarino: The (asymptotic) location of eigenvalues of a representation in the Hitchin component
- Tengren Zhang: A collar lemma for Hitchin representations
- Maria Beatrice Pozzetti: Maximal representations of complex hyperbolic lattices
- Francis Bonahon: The action of a pseudo-Anosov on the Hitchin component
- Fanny Kassel: Anosov representations and proper actions
- Christian Zickert: Coordinates for representation varieties of 3-manifold groups
- Pranav Pandit: Buildings, spectral networks, and the Riemann-Hilbert correspondence at infinity
- Kathryn Mann: Three proofs from dynamics of rigidity of surface group actions
- Ian Agol: Entropy of pseudo-Anosovs which fix homology
- Anne Parreau: Non archimedean representations of surface groups in PGL(3) and A2-Euclidean buildings
- Daniele Alessandrini: Degeneration of real projective structures on open surfaces
- Qiongling Li: Asymptotic Behavior of Certain Families of Higgs bundles in Hitchin Components
- Bertrand Deroin: A transfer principle: from periods to isoperiodic foliations
- Alireza Golsefidy: Affine sieve and expansion in linear groups
- Ursula Hamenstädt: Dynamics and geometry of the Weil Petersson metric
- Maryam Mirzakhani: Counting closed geodesics on a hyperbolic surface
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Seminar MSRI Evans Talk: Dynamics on moduli spaces of flat surfaces - questions and new directions
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Workshop Critical Issues in Mathematics Education 2015: Developmental Mathematics: For whom? Toward what ends?
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- Uri Treisman: Introductory plenary
- Katherine Stevenson: The Good Shepherd
- Carol Edwards, Wade Ellis, Myra Snell: Viewing the problem from the community college perspective
- Kate Belin, Lauren Brady, Philip Dituri, Audrey Federman, Giselle George-Gilkes, Noah Heller, Nalo Lewis, Michael Moshos: Viewing the problem from the K-12 perspective
- Duane Cooper, John Squires, Peter Trapa: Viewing the problem from the mathematics department chair perspective
- Deborah Ball: Plenary
- William McCallum: Developmental mathematics and the Common Core
- Rachel Beattie, Ann Edwards, April Go Forth, Gregory Larnell, Richard Sgarlotti: Non-cognitive issues affecting student performance in mathematics
- Parallel sessions
- Lee Zia: The recent announcement of NSF funding opportunities for "Increasing College Opportunity Through Improved Mathematics Success in the First Two Years of College", and other information about NSF
- James Gray: There’s Something Happening Here: Lessons on Transformative Mathematics Education from Colorado’s Equity in Excellence Project
- Harry Hellenbrand: The view from the Provost’s seat
- Thomas Bailey: Recent Reforms in Math Assessment and Developmental Education: Connecting Remediation to College Level Programs of Instruction
- Katherine Yoshiwara, Bruce Yoshiwara: Developmental Mathematics at Community Colleges
- Linda Gojak: The work of the Conference Board of the Mathematical Sciences surrounding developmental mathematics
- Parallel sessions
- Mark Hoover: A conversation about practical next steps
- Duane Cooper, Mark Hoover, Robert Megginson, Richard Sgarlotti, Katherine Stevenson: Closing session: Reflections on ideas discussed at the workshop
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Workshop Hot Topics: Kadison-Singer, Interlacing Polynomials, and Beyond
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- Petter Branden: Hyperbolic polynomials, Strong Rayleigh matroids and the Marcus-Spielman-Srivastava theorem
- Daniel Spielman: Introduction to Interlacing Polynomials, Barrier Functions, and Kadison-Singer
- Cynthia Vinzant: Determinants, Hyperbolicity, and Interlacing
- Chris Godsil: An overview of the Matching Polynomial
- Dimitri Shlyakhtenko: Laws of non-commutative polynomials in $n$-tuples of free variables
- Alice Guionnet: Free probability, random matrices and transport maps
- Adam Marcus: Polynomial convolutions and connections to free probability
- Nikhil Srivastava: Ramanujan graphs from finite free convolutions.
- Alexandra Kolla: Towards Constructing Expanders via Lifts: Hopes and Limitations
- Alain Valette: Expanders and box spaces
- William Johnson: Commutators in L(X) for some Banach spaces X
- Gideon Schechtman: A quantitative version of the commutator theorem for zero trace matrices
- Stefaan Vaes: Paving over arbitrary MASAs in von Neumann algebras
- Osman Guler: Hyperbolic Polynomials in Optimization
- Shayan Oveis Gharan: Effective-Resistance-Reducing Flows, Spectrally Thin Trees, and Asymmetric TSP
- Nicole Tomczak-Jaegermann: Approximating the covariance matrix by the empirical covariance matrices; non-limiting random matrix approach
- Victor Vinnikov: Hyperbolicity and determinantal representations for higher-codimensional subvarieties
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Seminar MSRI Evans Talk: Dynamics and Integer Points on the Sphere
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Workshop Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics
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- Jens Marklof: Homogeneous flows and the statistics of directions
- Dave Morris: Introduction to Ratner's Theorems on Unipotent Flows
- Han Li: Masser’s conjecture on equivalence of integral quadratic forms
- Jens Marklof: Homogeneous flows and the statistics of directions
- Hee Oh: Exponential decay of matrix coefficients.
- Jens Marklof: Homogeneous flows and the statistics of directions
- Dave Morris: Introduction to Ratner's Theorems on Unipotent Flows
- Francesco Cellarosi: Quadratic Weyl Sums, Automorphic Functions, and Invariance Principles
- Manfred Einsiedler: Rigidity of higher rank diagonalisable actions
- Hee Oh: Exponential decay of matrix coefficients
- Yves Benoist: Semigroups in semisimple groups
- Dave Morris: Introduction to Ratner's Theorems on Unipotent Flows
- Amir Mohammadi: Unipotent flows on infinite volume manifolds
- Yves Benoist: Semigroups in semisimple groups
- Amir Mohammadi: Unipotent flows on infinite volume manifolds
- Dmitry Kleinbock: Geometric and arithmetic aspects of bounded orbits on homogeneous spaces
- Uri Shapira: Grids with dense values
- Elena Fuchs: Thin groups: arithmetic and geometric viewpoints
- Seonhee Lim: Martin boundary and local limit theorem of Brownian motion on negatively-curved manifolds
- Anish Ghosh: Diophantine approximation on group varieties
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Workshop Connections for Women: Geometric and Arithmetic Aspects of Homogeneous Dynamics
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- Ursula Hamenstädt: The Weyl chamber flow and applications
- Svetlana Katok: Some number-theoretic tools used in homogenous dynamics
- Tamar Ziegler: Patterns in primes and dynamics on nilmanifolds
- Barbara Schapira: Ergodic properties of horocyclic flows on infinite volume hyperbolic surfaces
- Svetlana Katok: Some number-theoretic tools used in homogenous dynamics
- Ursula Hamenstädt: The Weyl chamber flow and applications
- Tamar Ziegler: Patterns in primes and dynamics on nilmanifolds
- Barbara Schapira: Ergodic properties of horocyclic flows on infinite volume hyperbolic surfaces
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Workshop Introductory Workshop: Dynamics on Moduli Spaces of Geometric Structures
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- Yves Benoist: Conformal Dynamics
- Marc Burger: Introduction to the study of Riemannian Symmetric Spaces
- Anna Wienhard: Anosov representations
- Alexander Wright: The GL(2,R) action on moduli spaces of translation surfaces
- Yair Minsky: Dynamics on character varieties
- Yves Benoist: Conformal Dynamics
- Marc Burger: Introduction to the study of Riemannian Symmetric Spaces
- Anna Wienhard: Anosov representations
- Alexander Wright: The GL(2,R) action on moduli spaces of translation surfaces
- Yair Minsky: Dynamics on character varieties
- Anna Wienhard: Anosov representations
- Marc Burger: Introduction to the study of Riemannian Symmetric Spaces
- Marc Burger: Introduction to the study of Riemannian Symmetric Spaces
- Alexander Wright: The GL(2,R) action on moduli spaces of translation surfaces
- Yair Minsky: Dynamics on character varieties
- Yves Benoist: Conformal Dynamics
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Workshop Connections for Women: Dynamics on Moduli Spaces of Geometric Structures
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- Alessandra Iozzi: Introduction to bounded cohomology and applications to rigidity
- Kathryn Mann: Groups acting on the circle
- Youngju Kim: An introduction to Lorentzian 3-manifold
- Maria Beatrice Pozzetti: Hermitian symmetric spaces
- Jing Tao: Introduction to Teichmuller spaces
- Sara Maloni: Introduction to quasi-Fuchsian groups
- Qiongling Li: Harmonic Maps And Surface Group Representations
- Evelyn Lamb: What we knew about hyperbolic geometry before we knew about hyperbolic geometry