Utah Videos

Videos of talks given at the AMS Summer Institute in Algebraic Geometry

Sunday, July 12, 2015 to Saturday, August 1, 2015
University of Utah, Salt Lake City

CMI Enhancement and Partnership Program

Note: The Mathematical Institute at the University of Oxford has very generously agreed to host these videos for a limited period, but they take up more space than can be allowed on a permanent basis.  They will be taken down in the summer of 2016. If you are likely to want access to any of them after that, then you should download your own copy now.  A few of the most popular videos will be uploaded to CMI's account on Vimeo.

Index by speaker

• Artin Fans Dan Abramovich
• Exoflops Nicolas Addington
• Instant Counting, W-algebras and the Little String Mina Aganagic
• Concrete Functorial Compactifications of Moduli of K3 Surfaces Valery Alexeev
• Limit Linear Series and Distribution of Weierstrass Points Omid Amini
• Foliations with Positive Tangent Sheaf Carolina Araujo
• Moduli of Regular Connections on the Punctured Disk Dima Arinkin
• Mirror Symmetry and External Transitions in the Toric World Paul Aspinwall
• Vector bundles and A^1-homotopy theory Aravind Asok
• Conjecture on Motives and Algebraic Cycles Joseph Ayoub

• Orlov Spectra in Algebraic Geometry and Beyond Matthew Ballard
• Stability and Wall-Crossing: Applications to Classical Algebraic Geometry Arend Bayer
• Local ε-isomorphisms in families Rebecca Bellovin
• Iterated Extentions and Relative Lubin-Tate Groups Laurent Berger
• Special Cycles in Ball Quotients and Moduli Spaces of Quasi-polarized K3 Surfaces Nicolas Bergeron
• Geometric Langlands and Bridgeland Stabilities Roman Bezrukavnikov
• Perfect Algebraic Geometry Bhargav Bhatt
• Equality of Stringy E-functions of Pfaffian Double Mirrors and Related Results Lev Borisov
• K-stability, Growth of Functionals and Singularities of Pairs Sébastien Boucksom
• Stability and Wall-crossing 1 (Notes) Tom Bridgeland
• Stability and Wall-crossing 2 (Notes) Tom Bridgeland
• Stability and Wall-crossing 3 (Notes) Tom Bridgeland
• Nilpotent Orbits in Hodge Theory Patrick Brosnan
• Counting failures of weak approximation Tim Browning
• Elliptically Fibered Calabi-Yau Threefolds, Jacobi Forms, and the Topological Vertex Jim Bryan

• Specialization of Adelic Representations of Étale Fundamental gropus of Schemes Anna Cadoret
• On F-crystalline Representations Bryden Cais
• Kodaira Dimension of Algebraic Fiber Spaces over Abelian Varieties Junyan Cao
• Pseudoeffectivity Properties of Orbifold Contangent Bundles Frédéric Campana
• Groups of Birational Transformations 1 (Notes) Serge Cantat
• Groups of Birational Transformations 2 (Notes) Serge Cantat
• Groups of Birational Transformations 3 (Notes) Serge Cantat
• Degenerations of Line Bundles on Algebraic Curves, New Methods and Results  Lucia Caporaso
• Combinatorial Tropical Surfaces Dustin Cartwright
• Birational Geometry and Singularities in Positive Characteristic Paolo Cascini
• Mori Dream Spaces Ana-Maria Castravet
• Projective K(π,1) Spaces and Applications to Moduli Problems Fabrizio Catanese
• Geography of Threefolds in General Type Jungkai Chen
• Multigraded Ideals with a Radical Gin Aldo Conca

• Towards Chabauty-Kim loci for the polylogarithmic quotient over an arbitrary number field Ishai Dan-Cohen
• Birational Geometry of Projective Hypersurfaces Tommaso de Fernex
• Local Picard groups Johan de Jong
• Study of Algebraic Varieties and Kahler Geometry 1 (Complete notes) Simon Donaldson
• Study of Algebraic Varieties and Kahler Geometry 2 Simon Donaldson
• Study of Algebraic Varieties and Kahler Geometry 3 Simon Donaldson

• Higher Matrix Factorizations for Complete Intersections, An Introduction and an Application David Eisenbud
• Some Fundamental Groups in Arithmetic Geometry 1 (Complete notes) Hélène Esnault
• Some Fundamental Groups in Arithmetic Geometry 2 Hélène Esnault
• Some Fundamental Groups in Arithmetic Geometry 3 Hélène Esnault

• From Local Class Field to the Curve and Vice Versa Laurent Fargues
• The Green-Lazarsfeld Secant Conjecture Gavril Farkas
• On families of n-congruent elliptic curves Tom Fisher
• Poincaré:Koszul Duality John Francis
• On Semi-long Canonical Pairs Osamu Fujino

• Movable Curves and Semistable Sheaves Daniel Greb
• Mirror Symmetry (Notes) Mark Gross
• Skeletons and Tropicalizations Walter Gubler

• Theta Functions for K3 Surfaces Paul Hacking
• Birational Geometry and Moduli Spaces of Varieties of General Types 1 (Notes) Christopher Hacon
• Birational Geometry and Moduli Spaces of Varieties of General Types 2 (Notes) Christopher Hacon
• Arithmetic of Wild Character Varieties  Tamás Hausel
• Rational points on Intersections of Quadrics Roger Heath-Brown
• Degenerations of trianguline representations Eugen Hellmann
• Classical p-adic Teichmuller theory in characteristic three Yuichiro Hoshi
• MMP for Compact Kähler Threefolds Andreas Höring

• Constructing Mirrors via Shift Operators Hiroshi Iritani

• Tropical Independence and the Maximal Rank Conjecture for Quadrics David Jensen

• Uniform Bounds on Rational and Torsion Points on Curves Eric Katz
• Higgs Sheaves on Singular Spaces and the Miyaoka-Yau Inequality for Minimal Varieties of General Type Stefan Kebekus
• (phi, Gamma)-modules on Analytic, Adic, and Perfectoid Spaces Kiran Kedlaya
• Intergral models of Shimura varieties 1 (Notes) Mark Kisin
• Intergral Models of Shimura Varieties 2 (Notes) Mark Kisin
• Intergral Models of Shimura Varieties 3  Mark Kisin
• An André-Oort conjecture for variations of Hodge structures Bruno Klingler
• Iterated Stability Maxim Kontsevich
• Mirror Symmetry, New Definitions (Notes) Maxim Kontsevich
• Projectivity of the Moduli Space of Stable Log-varieties Sándor Kovács
• Field patching and higher dimensional local-global principles Daniel Krashen
• Towards a P-adic Riemann-Hilbert Correspondence Kobi Kremnizer

• Birational Geometry of the Moduli Space of Hyperelliptic Quaric K3s Radu Laza
• Syzygies of Algebraic Curves of Large Degree Robert Lazarsfeld
• Birational Transformation and Degeneration in Gromov--Witten Theory  Yuan-Pin Lee
• Theta-reductive Moduli Problems, Stratifications and Applications Dan Halpern-Leistner
• Effective Neotherianity up to Symmetry Anton Leykin
• Maxed-spin-P fields and Algorithm to Evaluate GW and FJRW Invarients of Quintic CY Manifolds Jun Li
• Twisted sheaves, ten years later Max Lieblich
• On the Remodling Conjecture for Toric Calabi-Yau 3-orbifolds Melissa Liu
• Finiteness of cohomology of relative (phi,Gamma)-modules Ruochuan Liu
• Cohomology Theories and Commutative Rings (Notes) Jacob Lurie
• Roots of Unity in Intermediate Characteristic  (Notes) Jacob Lurie
• Representation Theory in Intermediate Characteristics (Notes) Jacob Lurie

• Birational Geometry and Moduli Spaces of Varieties of General Types 1 (Notes) James McKernan
• Birational Geometry and Moduli Spaces of Varieties of General Types 2 (Notes) James McKernan
• Tropicalizing rational relative Gromov-Witten theory of P^1 Hannah Markwig
• Bridgeland Stability Conditions on Higher Dimensional Vatrieties Emanuele Marci
• The Volume of the Moduli Space of Flat Surfaces Martin Möller
• On the Divisors Computing Minimal Log Discrepancies Mircea Mustatâ

• Singular Lagrangians David Nadler
• A Finiteness Theorem for Symplectic Singularities Yoshinori Namikawa
• D-modules on Stacks from the GIT Point of View Tom Nevins
• Singularities in Formal Arc Spaces and Harmonic Analysis over Non-archimedean Fields (Notes) Bao Châu Ngô
• Refined Curve Counting and Hrushovski-Kazhdan Motivic Intergration Johannes Nicaise
• Syntomic complexes and $p$-adic nearby cycles Wieslaura Niziel
• Growth Conditions Associated to Ample (or big) Line Bundles David Witt Nyström

• EPW Sextics Kieran O'Grady
• Enumerative Geometry and Representation Theory 1 (Notes) Andrei Okounkov
• Enumerative Geometry and Representation Theory 2 (Notes) Andrei Okounkov
• Enumerative Geometry and Representation Theory 3 (Notes) Andrei Okounkov

• Cycles on the Moduli Space of Curves (Notes) Rahul Pandharipande
• Shifted Deformation Quantization Tony Pantev
• Metric Properties of Direct Images of Twisted Relative Conanical Bundles Mihai Paun
• Stability and Wall-crossing, Applications to Classical Algebraic Geometry Tropical Methods in Brill-Noether Theory Sam Payne
• Adjoint Dimensions of Foliations Jorge Pereira
• The Upgraded Version of Batyrev-Manin Program Emmanuel Peyre
• On Stable Rationality Alena Pirutka
• Ranks of Tautological Rings Aaron Pixton
• Positivity for Hedge Modules and Geometric Applications Mihnea Popa
• Parity Conjecture in Analytic Familes Jay Pottharst
• A Concrete Approach to Higher and Derived Stacks J.P. Pridham

• Uniform Bounds on Rational Points via P-adic Intergration and Berkovich Skeletons Joe Rabinoff
• Character of Equivarient D-modules on Space and Matrices Claudiu Raicu
• Variation of Gieseker Moduli Spaces via Quiver GIT Julius Ross
• Algebro-geometric Aspects of Higher Quantization  Nick Rozenblyum
• A Mathematical Theory of Guaged Linear Sigma Model (GLSM) Yongbin Ruan

• On the Grothendieck anabelian section conjecture over finitely generated fields Mohammad Saidi
• Motives with modulus Shuji Saito
• The Characteristic cycle and the Singular Support of an Étale Sheaf Takeshi Saito
• Stable Obstruction to Degree one zero Cycles Tomer Schlank
• p-adic Hodge theory and q-de Rham cohomology 1 (Notes) Peter Scholze
• P-adic Hodge Theory and q-de rham Cohomology 2 (Notes) Peter Scholze
• P-adic Hodge Theory and q-de rham Cohomology 3 (Notes) Peter Scholze
• The Constructions Problem for Hodge Numbers Stefan Schreieder
• Matrix Factorizations and Models of Curves in P^4 Frank-Olaf Schreyer
• On the Moduli part of the F-different Karl Schwede
• Modular symbols and arithmetic Romyar Sharifi
• Legendrian Knots and Moduli Spaces of Microlocal Sheaves Vivek Shende
• Counting Curves using the Fukaya Category Nicholas Sheridan
• From Langlands-Rapoport Conjecture to Cohomology of Shimura Varieties Sug Woo Shin
• Variation of the Selmer group of quadratic twists and the Hasse principle for Kummer varieties Alexei Skorobogatov
• Nonnegativity Certificates on Real Projective Varieties Greg Smith
• Connections between Commutative Algebra and Representations of Categories Andrew Snowden
• Galois Groups of Schubert Problems Frank Sottile
• Spaces of Rational Curves on Fano Manifolds Jason Starr
• Uniqueness of DG Enhancements in Geometric Context and Fourer--Mukai Functors Paolo Stellari
• Applications of Computational Algebraic Geometry to Vacuum Moduli Spaces of Supersymmetric Models in Physics (Notes) Michael Stillman
• New vanishing theorems for mixed Hodge modules and applications Junecue Suh
• Singularities of Kahler-Einstien Metrics and Stability Song Sun
• Variations on a theme by Ribet Tamas Szamuely
• The Equivariant Yau-Tian-Donaldson Conjecture Gábor Székelyhidi

• Forbenius Action on Local Cohomology and the Hodge Filtration Shunsuke Takagi
• Specialization of I-adic Representations of Arithmetic Fundamental groups and Applications to Arithmetic of Abelian Varieties Akio Tamagawa
• Homological Projective Duality Richard Thomas
• Fundamental Group of Fano Varieties Zhiyu Tian
• Non-commutative Thickening of Moduli Spaces of Stable Sheaves Yukinobu Toda
• Nakamaye's Theorem on Complex Manifolds Valentino Tosatti
• Compact Leaves of Codimension One Holomorphic Foliations Frédéric Touzet
• Almost Abelian Anabelian Geometry- Yuri Tschinkel
• On P-adic Etale Cohomology of Perverse Sheaves Takeshi Tsuji

• Ranks of Abelian Varieties over Function Fields Douglas Ulmer

• Kodaira Dimensions of certain Orthogonal Modular Varieties Anthony Várilly-Alvarado
• A Survey of L^2 Extension and its Applications in Analytic and Algebraic Geometry Dror Varolin
• Recent Directions in Derived Geometry Gabriele Vezzosi
• Stable Birational Invariants and the Lüroth Problem (Notes) Claire Voisin

• Aspects of the Homological Minimal Model Program Michael Wemyss
• Splitting varieties for triple Massey products in Galois cohomology Kristen Wicklegren
• On H-principle on Specialness Jörg Winkelmann
• Heuristics for Boundedness of Ranks of Elliptic Curves Melanie Matchett Wood
• Quantum K-theory of Geometric Invariant Theory Quotients Chris Woodward

• Dual Complex of Singular Pairs Chenyang Xu

• Intersection Numbers of Cycles on the Moduli of Shtukas Zhiwei Yun

• Faltings heights and Zariski density of CM abelian varieties (Notes) Shou-Wu Zhang
• The Geometric Satake Isomorphism for P-adic Groups Xinwen Zhu
• Double Ramification Cycles Dimitri Zvonkine