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Workshop The Commutative Algebra of Singularities in Birational Geometry: Multiplier Ideals, Jets, Valuations, and Positive Characteristic Methods
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- János Kollár: Resolutions of dlt pairs
- Gennady Lyubeznik: Recent results on the grading of local cohomology modules
- Claudia Polini: the core of an ideal
- James McKernan: ACC for the log canonical threshold and termination of flips
- Steven Cutkosky: Multiplicities of graded families of linear series
- Vasudevan Srinivas: Ordinary varieties and the comparison between multiplier ideals and test ideals
- Karl Schwede: F-singularities in families
- Bernard Teissier: On the local uniformization of Abhyankar valuations using toric maps
- Tommaso de Fernex: The Nash problem on families of arcs
- Kevin Tucker: F-Signature and Relative Hilbert-Kunz Multiplicity
- Vijaylaxmi Trivedi: Some computations of Hilbert-Kunz functions
- Shunsuke Takagi: Globally F-regular and Frobenius split surfaces.
- Masayuki Kawakita: The index of a threefold canonical singularity
- Charles Favre: Uniform Izumi's theorem
- Shihoko Ishii: Singularities with respect to Mather-Jacobian discrepancies
- Willem Veys: The monodromy conjecture for motivic and related zeta functions
- Lawrence Ein: Mather multiplier ideals
- Holger Brenner: Something is irrational in Hilbert-Kunz theory
- Vikram Mehta: The Singularities of the Moduli Spaces of Vector Bundles over Curves in characteristic p
- Nobuo Hara: Stabilization of the Frobenius push-forward and the F-blowup sequence
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Workshop Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry
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- Sarah Witherspoon: Poincare-Birkhoff-Witt Theorems and group actions in positive characteristic
- Milen Yakimov: Quantum cluster algebra structures on quantum nilpotent algebras
- Colin Ingalls: Centres of NCCRs are KLT
- Hiraku Nakajima: Cluster algebras and singular supports of perverse sheaves
- Raf Bocklandt: Noncommutative projective geometry through the looking glass
- Daniel Murfet: Clifford actions on DG categories
- Susan Sierra: The enveloping algebra of the Witt algebra is not noetherian
- Daniel Rogalski: Classifying Orders in the Sklyanin Algebra
- Ivan Loseu: On Procesi bundles
- Ken Brown: Noncommutative unipotent groups
- Derived categories of Grassmannians in arbitrary characteristic (Michel Van den Bergh)
- Elliptic character sheaves (David Nadler)
- Peng Shan: Categorifications and Rational Cherednik Algebras
- Gwyn Bellamy: Vanishing Cycles for Mirabolic D-modules
- Ragnar-Olaf Buchweitz: The McKay Correspondence for anti-canonically embedded Fano Varieties
- Konstantin Ardakov: Rigid analytic quantisation and p-adic representations of p-adic Lie groups
- Noncommutative motives (Gonçalo Tabuada)
- Cohomology of the elliptic Affine Springer Fibres and the rational Cherednik algebras (Alexei Oblomkov)
- Noncommutative Hilbert schemes and stable pairs on elliptic curves (Roman Bezrukavnikov)
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Workshop Critical Issues in Mathematics Education 2013: Assessment of Mathematical Proficiencies in the Age of the Common Core
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- Setting the stage: An introduction to the fundamental challenges of assessment (Alan Schoenfeld)
- The challenge of assessing mathematical proficiency: A student interview (Deborah Ball & Hyman Bass)
- Dissolving the boundaries (Bill McCallum and Jason Zimba)
- Working Groups
- Assessment in practice: Use, needs, and examples (Eyal Wallenberg, Melanie Smith, David Baiz, & Jonathan Osler)
- Assessing complex human practices (Eva Baker)
- Assessment ABCs: Purpose, design, and examples (Mike Briscoe, Guillermo Solano-Flores, & Ann Shannon)
- PARCC: Challenges taken on and progress to date (Doug Sovde)
- Working Groups
- Marcus Hung, Maria Martiniello, Judit Moschkovich: Diversity and equity: Assessment challenges and examples
- Working Groups
- SBAC: Challenges taken on and progress to date (Shelbi Cole)
- Broadening the conversation: Issues and concerns (Diane Briars)
- Working collectively to assess proficiency: Panel interview
- Making progress on assessing proficiency (Alan Schoenfeld)
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Workshop Hot Topics: Surface subgroups and cube complexes
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- Jason Manning: Dehn filling of groups and spaces
- Daniel Groves: Wise's Malnormal Special Quotient Theorem
- Ian Agol: The virtual Haken conjecture
- Vladimir Markovic: Criterion for Cannon's Conjecture
- Alden Walker: Surface subgroups from linear programming
- Danny Calegari: Surface subgroups in random graphs of free groups
- Sang-hyun Kim: Doubles of free groups and hyperbolic surface subgroups
- Alan Reid: Recognizing free groups, surface groups and Kleinian groups by their finite quotients
- Piotr Przytycki: Slim unicorns
- Mladen Bestvina: scl in mcg
- Jeremy Kahn: Surface Subgroups of Isometries of Hyperbolic 3-Space
- Yi Liu: Bounded quasi-Fuchsian subsurfaces in closed hyperbolic 3-manifolds
- David Futer: Surface quotients of hyperbolic buildings
- Anne Thomas: Polyhedral complexes, lattices and surface subgroups
- Talia Fernos: Connecting the Roller Boundary and the Poisson-Furstenberg Boundary
- Alessandra Iozzi: Rigidity of actions on CAT(0) cube complexes
- Ursula Hamenstädt: On surface subgroups of mapping class groups
- Jack Button: Ascending HNN extensions of free groups
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Workshop Representation Theory, Homological Algebra, and Free Resolutions
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- Melvin Hochster: Ideals and algebras generated by quadratic and cubic forms in polynomial rings
- Lidia Angeleri Huegel: t-structures and cotilting modules over commutative noetherian rings
- Idun Reiten: Maximal Cohen-Macaulay modules and generalised cluster categories
- Srikanth Iyengar: The derived category of a complete intersection ring
- Alexander Polishchuk: Lefschetz theorems for dg-categories with applications to matrix factorizations
- Daniel Murfet: The bicategory of Landau-Ginzburg models
- Peter Symonds: Group actions on rings and the Cech complex
- Ragnar-Olaf Buchweitz: Graded Maximal Cohen-Macaulay Modules over Elliptic Curves
- Tobias Dyckerhoff: Higher Segal Spaces
- Rosa M. Miró-Roig: The representation type of a projective variety
- David Benson: Modules for elementary abelian p-groups and hypersurface singularities
- Hailong Dao: Cohen-Macaulay cones and subcategories
- Robert Lazarsfeld: Asymptotic syzygies of algebraic varieties
- Gavril Farkas: Syzygies of torsion bundles and the geometry of the level l modular variety over \(M_g\)
- Osamu Iyama: Cluster tilting for Cohen-Macaulay modules
- Jason McCullough: Bounds on the Projective Dimension and Regularity of Ideals
- Bernd Ulrich: Socles, quasi-socles, and integral dependence
- Claudiu Raicu: Equations and syzygies via representation theory and combinatorics
- Claudia Miller: Duality Phenomena for Koszul Homology
- Henning Krause: Koszul, Ringel, and Serre duality for strict polynomial functors
- Giulio Caviglia: Some results on the Lex-Plus-Power conjecture
- Marc Chardin: Powers of graded ideals
- Juergen Herzog: Ordinary and symbolic powers are Golod
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Workshop Introductory Workshop: Noncommutative Algebraic Geometry and Representation Theory
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- Ragnar-Olaf Buchweitz: Variations on Hochschild cohomology I
- Jason Bell: Introduction to Growth and growth functions I
- Sholto Smith: Introduction to non-commutative algebraic geometry I
- Amnon Yekutieli: Introduction to Derived Categories I
- Ragnar-Olaf Buchweitz: Variations on Hochschild cohomology II
- Amnon Yekutieli: Introduction to Derived Categories II
- Sholto Smith: Introduction to non-commutative algebraic geometry II
- Vasiliy Dolgushev: Deformation Quantization I
- David Ben-Zvi: Introduction to D-modules I
- Vasiliy Dolgushev: Deformation Quantization II
- David Ben-Zvi: Introduction to D-modules II
- Graham Leuschke: Non-commutative desingularizations and MCM modules I
- Matilde Marcolli: Noncommutative motives and their applications I
- Maria Chlouveraki: Symplectic reflection algebras I
- Jason Bell: Introduction to Growth and growth functions II
- Matilde Marcolli: Noncommutative motives and their applications II
- Graham Leuschke: Non-commutative desingularizations and MCM modules II
- Maria Chlouveraki: Symplectic reflection algebras II
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Workshop Connections for Women: Noncommutative Algebraic Geometry and Representation Theory
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- James Zhang: Open Questions in Noncommutative Algebra and Noncommutative Algebraic Geometry
- Sarah Witherspoon: Poincaré-Birkhoff-Witt Theorems
- Catharina Stroppel: Kazdhan-Lusztig polynomials, geometry and categorification
- Graham Leuschke: What Should a Non-commutative Resolution of Singularities Be?
- Susan Sierra: What Are the Noncommutative Projective Surfaces?
- Michaela Vancliff: The Interplay of Algebra and Geometry in the Setting of AS-Regular Algebras
- Iain Gordon: Some Geometry and Combinatorics around the Representations of Cherednik Algebras
- Lauren Williams: An Introduction to Cluster Algebras