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Workshop Recent Progress in Moduli Theory
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- János Kollár: Moduli of varieties of general type
- Aaron Bertram: Hilbert polynomials, stability conditions on derived categories, moduli and birational geometry
- Orsola Tommasi: Local systems on M_2 and the top weight cohomology of M_{2,n}
- Gavril Farkas: Quadric rank loci on moduli spaces of curves and K3 surfaces
- Dan Abramovich: Resolution in characteristic 0 using weighted blowing up
- Zsolt Patakfalvi: Positivity of the Chow-Mumford line bundle for families of K-stable Q-Fano varieties
- Ana-Maria Castravet: Exceptional collections on moduli spaces of stable rational curves
- Angelo Vistoli: The Chow ring of the stack of stable curves of genus 2
- Valery Alexeev: Degenerations of K3 surfaces and 24 points on the sphere
- Max Lieblich: Perfect curves on elliptic K3 surfaces
- Brendan Hassett: Rationality of geometrically rational threefolds
- Ariyan Javanpeykar: Finiteness properties of hyperbolic varieties
- Margarida Melo: Tropicalizing the moduli space of stable spin curves and applications
- Barbara Fantechi: Motive of Quot^n(E) for E a bundle on a smooth projective curve
- Melody Chan: Tropical moduli spaces and the cohomology of M_{g,n}
- Xinwen Zhu: Kloosterman crystals for reductive groups
- Wei Ho: Integral points on elliptic curves
- Joseph Harris: Compactifying moduli of line bundles on curves
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Workshop Hot Topics: Recent progress in Langlands Program
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- Xinwen Zhu: Overview
- Jared Weinstein: Moduli of Shtukas (Part I)
- Jared Weinstein: Moduli of Shtukas (Part II)
- Robert Cass: Geometric Satake
- Sophie Morel: Cohomology of moduli of Shtukas
- Cong XUE: Finiteness of Cohomology of moduli of Shtukas
- Zhiwei Yun: Specialization to the diagonal (Part I)
- Zhiwei Yun: Specialization to the diagonal (Part II)
- Charlotte Chan: Drinfeld's Lemma
- Ana Caraiani: Moduli of representations and Global Langlands parameterization Part I
- Ana Caraiani: Moduli of representations and Global Langlands parameterization Part II
- David Nadler: Categorical traces in Representation theory
- Sam Raskin: Moduli of restricted Shtukas and category of sheaves on it Part I
- Sam Raskin: Moduli of restricted Shtukas and category of sheaves on it Part II
- Weizhe Zheng: Nearby cycles over general bases
- Xinwen Zhu: Local Langlands parameterization and local-global compatibility (Part I)
- Xinwen Zhu: Local Langlands parameterization and local-global compatibility (Part II)
- Jack Thorne: Potential automorphy of \hat{G}-local systems
- Stefan Patrikis: Drinfeld's work on the pro-semisimple completion of the fundamental group of a smooth variety over a finite field
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Workshop Derived algebraic geometry and its applications
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- Constantin Teleman: Characters of categorical representations: theory and applications
- Bhargav Bhatt: TBA
- Vesna Stojanoska: Dualizing spheres for p-adic analytic groups with applications to chromatic homotopy theory.
- Gijs Heuts: Spectral Lie algebras and unstable homotopy theory
- Sam Raskin: Affine Beilinson-Bernstein at the critical level for GL_2
- Tony Pantev: Moduli of flat connections on smooth varieties
- Dmytro Arinkin: Singular support for categories over a scheme
- Kirsten Wickelgren: An arithmetic enrichment of the degree of a finite map, and applications to enumerative geometry
- Akhil Mathew: p-adic K-theory and topological cyclic homology
- Georg Tamme: On the K-theory of pullbacks
- Jacob Lurie: Character Theory and Tempered Cohomology
- Hélène Esnault: Arithmetic subloci of rank one local systems
- Laurent Fargues: Geometrization of the local Langlands correspondence
- Peter Scholze: TBA
- Sarah Scherotzke: The Chern character and categorification
- Lars Hesselholt: $K$-theory of division algebras over local fields
- Gabriele Vezzosi: Vanishing cycles, Bloch's conductor conjecture and non-commutative geometry
- Dmitry Kaledin: Bokstedt periodicity and Bott periodicity
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Workshop Critical Issues in Mathematics Education 2019: Mathematical Modeling in K-16: Community and Cultural Contexts
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- David Eisenbud, Christine Marshall: MSRI Workshop Overview and Logistics
- Cynthia Anhalt, Rachel Levy: Introduction to Mathematical Modeling (MM) in CIME Workshop Context
- Jo Boaler, Ricardo Cortez, Maria Hernandez, Patrick Honner: Panel 1: Critical Issues in MM Education
- Julia Aguirre: Framing and Introducing a MM Task
- Julia Aguirre: Reflection on the Shared Mathematical Modeling Task
- Sol Garfunkel, Dan Meyer, Nina Miller, Annalee Salcedo, Erin Turner: Panel 2: Current State of MM in K-16 Education
- Rachel Levy: Moderated Discussion
- Filiberto Barajas-López, Laurie Rubel, Ksenija Simic-Muller: Panel 3: Equity and Social Justice Theoretical Frameworks to Move us Forward in Developing a vision for MM Education
- Deborah Ball: Historic Perspective of CIME
- Report out from Breakout Sessions
- Linda Cummings, Genetha Gray, Joceline Lega: Panel 4: Mathematical Perspectives and Vision for Preparation and Pathways in MM
- David Eisenbud: 2018 Mathical Book Prize Reading and Award Ceremony
- Megan Wickstrom: Individual Reflection: Preparing to Take Action
- Ted Coe, Jennifer Czocher, Lyn English: Panel 5: Research Perspectives in MM Education
- Diane Briars, Aurora Graf, Shandy Hauk, Leslie Nabors Olah, Mike Steele: Panel 7: How can organizations and CIME participants work together?
- Ricardo Cortez: Individual or Group Reflections/Actions
- Cynthia Anhalt, Rachel Levy: Closing Summary
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Seminar 5 minute talks
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Seminar 5 minute talks
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Workshop Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces
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- Benjamin Antieau: DAG I: the cotangent complex and derived de Rham cohomology
- János Kollár: Moduli of canonical models
- Chenyang Xu: The uniqueness of K-polystable Fano degeneration
- Karl Schwede: Birational algebraic geometry in positive characteristic
- Benjamin Antieau: DAG II: moduli of objects in derived categories
- János Kollár: Moduli of canonical models
- Carlos Simpson: Infinity categories and why they are useful, I
- Carlos Simpson: Infinity categories and why they are useful, II
- János Kollár: Moduli of canonical models
- Benjamin Antieau: DAG III: examples
- Karl Schwede: Birational algebraic geometry in positive characteristic
- Sam Raskin: The notion of singular support in DAG and its applications I
- Carlos Simpson: Infinity categories and why they are useful, III
- Claire Voisin: Stable birational invariants
- Sam Raskin: The notion of singular support in DAG and its applications II
- Karl Schwede: Birational algebraic geometry in positive characteristic
- Kathryn Hess: Topological Hochschild homology and topological cyclic homology: from classical to modern - I
- Claire Voisin: Stable birational invariants
- Yuri Tschinkel: Rationality problems
- Kathryn Hess: Topological Hochschild homology and topological cyclic homology: from classical to modern - II
- Claire Voisin: Stable birational invariants
- Tony Pantev: Shifted symplectic structures and applications
- Sam Raskin: The notion of singular support in DAG and its applications III
- Christian Schnell: Extending holomorphic forms from the regular locus of a complex space to a resolution
- Kathryn Hess: Topological Hochschild homology and topological cyclic homology: from classical to modern - III
- Emanuele Macri: Derived categories of cubic fourfolds and non-commutative K3 surfaces
- Akshay Venkatesh: (Derived) moduli of local systems in number theory
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Workshop Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces
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- Vesna Stojanoska: Descending Invertibility and the Brauer group of Topological Modular Forms
- Montserrat Teixidor i bigas: The maximal rank conjecture and moduli of curves
- Kristin DeVleming, Laure Flapan: 20 Minute Talks
- Brooke Shipley: Topological coHochschild homology for coalgebras
- Inna Zakharevich: Decompositions of varieties, birationality, and K-theory
- Rita Pardini: Birational geometry of varieties of maximal Albanese dimension
- Inbar Klang, Julie Rana: 20 Minute Talks
- Wieslawa Niziol: p-adic cohomology of the Drinfeld half-space
- Lucia Caporaso: Tropicalizing moduli spaces of algebraic curves and spin curves
- Carolina Araujo: Moduli spaces of parabolic vector bundles on P^1 and a special family of Fano varieties
- Irina Bobkova, Tina Kanstrup: 20 Minute Talks