• Home

  • Documents

  • Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title:...
22

Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM

  • Upload
    others

  • View
    0

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 2: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 3: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 4: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 5: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 6: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 7: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 8: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 9: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 10: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 11: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 12: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 13: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 14: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 15: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 16: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 17: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 18: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 19: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 20: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 21: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM
Page 22: Simons2 - Columbia Universitymath.columbia.edu/~okounkov/Simons2.pdf · 2014. 4. 15. · Title: Simons2.jnt Author: okounkov Created Date: 5/4/2010 8:43:24 AM

Enumerative geometry and geometric representation theory Andrei …okounkov/Bonn.pdf · Andrei Okounkov. a classical problem in geometry is to count curves of given degree and genus

Enumerative geometry and geometric representation theory Andrei …okounkov/Bonn.pdf · Andrei Okounkov. a classical problem in geometry is to count curves of given degree and genus

Documents
ETALE FUNDAMENTAL GROUPS - Columbia Universitymath.columbia.edu/~phlee/CourseNotes/EtaleFundamental.pdfETALE FUNDAMENTAL GROUPS JOHAN DE JONG NOTES TAKEN BY PAK-HIN LEE Abstract. Here

ETALE FUNDAMENTAL GROUPS - Columbia Universitymath.columbia.edu/~phlee/CourseNotes/EtaleFundamental.pdfETALE FUNDAMENTAL GROUPS JOHAN DE JONG NOTES TAKEN BY PAK-HIN LEE Abstract. Here

Documents
Regeneration Dynamics of Great Basin Bristlecone Pine in ... · Draft 1 1 Regeneration Dynamics of Great Basin Bristlecone Pine in Southern Nevada 2 3 4 Philip J. Burton1 5 Jesy Simons2,

Regeneration Dynamics of Great Basin Bristlecone Pine in ... · Draft 1 1 Regeneration Dynamics of Great Basin Bristlecone Pine in Southern Nevada 2 3 4 Philip J. Burton1 5 Jesy Simons2,

Documents
A BRST Primer* - Columbia Universitymath.columbia.edu/~shapiro/PDFs/Weinstein _ SLAC _ a brst... · 2018-11-06 · A BRST Primer* DENNIS NEMESXIAN~KY’ Department of Physics University

A BRST Primer* - Columbia Universitymath.columbia.edu/~shapiro/PDFs/Weinstein _ SLAC _ a brst... · 2018-11-06 · A BRST Primer* DENNIS NEMESXIAN~KY’ Department of Physics University

Documents
Stochastic vertex models and symmetric functions · Applications of the algebra of symmetric functions to probability : Schur measures (Okounkov), Schur processes (Okounkov-Reshetikhin),

Stochastic vertex models and symmetric functions · Applications of the algebra of symmetric functions to probability : Schur measures (Okounkov), Schur processes (Okounkov-Reshetikhin),

Documents
Notes on Galois Theory - Columbia Universitymath.columbia.edu/~rf/galoisnotes.pdf · Notes on Galois Theory April 28, 2013 1 First remarks De nition 1.1. Let Ebe a eld. An automorphism

Notes on Galois Theory - Columbia Universitymath.columbia.edu/~rf/galoisnotes.pdf · Notes on Galois Theory April 28, 2013 1 First remarks De nition 1.1. Let Ebe a eld. An automorphism

Documents
Okounkov bodies and geodesic rays in Kähler geometry · Okounkov bodies and geodesic rays in Kähler geometry David Witt Nyström ABSTRACT This thesis presents three papers dealing

Okounkov bodies and geodesic rays in Kähler geometry · Okounkov bodies and geodesic rays in Kähler geometry David Witt Nyström ABSTRACT This thesis presents three papers dealing

Documents
Geometry of Hessenberg varieties with applications to ... · GEOMETRY OF HESSENBERG VARIETIES WITH APPLICATIONS TO NEWTON-OKOUNKOV BODIES HIRAKU ABE, LAUREN DEDIEU, FEDERICO GALETTO,

Geometry of Hessenberg varieties with applications to ... · GEOMETRY OF HESSENBERG VARIETIES WITH APPLICATIONS TO NEWTON-OKOUNKOV BODIES HIRAKU ABE, LAUREN DEDIEU, FEDERICO GALETTO,

Documents
Notes for Topics in Representation Theory Instructor: Andrei …math.columbia.edu/~hliu/classes/s20-k-theory.pdf · Notes for Topics in Representation Theory Instructor: Andrei Okounkov

Notes for Topics in Representation Theory Instructor: Andrei …math.columbia.edu/~hliu/classes/s20-k-theory.pdf · Notes for Topics in Representation Theory Instructor: Andrei Okounkov

Documents
Topics in Number theory - Columbia Universitymath.columbia.edu/~goldfeld/TopicsinNumbertheorySpring2010.pdfAutomorphic forms and L-function for GL(n;R), Goldfeld Representation theroy

Topics in Number theory - Columbia Universitymath.columbia.edu/~goldfeld/TopicsinNumbertheorySpring2010.pdfAutomorphic forms and L-function for GL(n;R), Goldfeld Representation theroy

Documents
Introduction 1 Sheaf Theory - Columbia Universitymath.columbia.edu/~dejong/.../04/EtaleCohomology.pdfEtale Cohomology 3 Introduction 0.1 Prologue This class is about another cohomology

Introduction 1 Sheaf Theory - Columbia Universitymath.columbia.edu/~dejong/.../04/EtaleCohomology.pdfEtale Cohomology 3 Introduction 0.1 Prologue This class is about another cohomology

Documents
Laryngomalacia in Patients with Craniosynostosis · Laryngomalacia in Patients with Craniosynostosis Fasil Mathews1, Matthew Georg2, Matthew Ford3, Noel Jabbour2, Jeffrey Simons2

Laryngomalacia in Patients with Craniosynostosis · Laryngomalacia in Patients with Craniosynostosis Fasil Mathews1, Matthew Georg2, Matthew Ford3, Noel Jabbour2, Jeffrey Simons2

Documents
Newton-Okounkov bodies, semigroups of integral …annals.math.princeton.edu/wp-content/uploads/annals-v176-n2-p05-p.… · Newton-Okounkov bodies, semigroups of integral points, graded

Newton-Okounkov bodies, semigroups of integral …annals.math.princeton.edu/wp-content/uploads/annals-v176-n2-p05-p.… · Newton-Okounkov bodies, semigroups of integral points, graded

Documents
GEOMETRIC ASPECTS OF NEWTON–OKOUNKOV BODIES · Illinois at Chicago, the CRM workshop ’Positivity and valuations’ in Barcelona, at the Universitá di Milano Bicocca, and the

GEOMETRIC ASPECTS OF NEWTON–OKOUNKOV BODIES · Illinois at Chicago, the CRM workshop ’Positivity and valuations’ in Barcelona, at the Universitá di Milano Bicocca, and the

Documents
Automated Unit Testing with Randoop, JWalk and µJava ... · Automated Unit Testing with Randoop, JWalk and µJava versus Manual JUnit Testing Nastassia Smeets1 and Anthony J H Simons2

Automated Unit Testing with Randoop, JWalk and µJava ... · Automated Unit Testing with Randoop, JWalk and µJava versus Manual JUnit Testing Nastassia Smeets1 and Anthony J H Simons2

Documents
Tiling Problems Introduction - Columbia Universitymath.columbia.edu/~dlitt/Talks/SUMO-Tiling-Notes.pdf · Introduction Counting Problems Feasibility Problems Counting Problems (dominos,

Tiling Problems Introduction - Columbia Universitymath.columbia.edu/~dlitt/Talks/SUMO-Tiling-Notes.pdf · Introduction Counting Problems Feasibility Problems Counting Problems (dominos,

Documents
Boxcounting Yannis - Columbia University · 2017. 6. 10. · Title: Boxcounting Yannis.jnt Author: okounkov Created Date: 5/12/2017 9:48:57 AM

Boxcounting Yannis - Columbia University · 2017. 6. 10. · Title: Boxcounting Yannis.jnt Author: okounkov Created Date: 5/12/2017 9:48:57 AM

Documents
Limit shapes, real and imaginaryokounkov/AMScolloq.pdf · Limit shapes, real and imaginary Andrei Okounkov 1 Introduction 1.1 We are surrounded by random surfaces. In fact, every

Limit shapes, real and imaginaryokounkov/AMScolloq.pdf · Limit shapes, real and imaginary Andrei Okounkov 1 Introduction 1.1 We are surrounded by random surfaces. In fact, every

Documents
More Notes on Galois Theory - Columbia Universitymath.columbia.edu/~rf/moregaloisnotes.pdf · More Notes on Galois Theory In this nal set of notes, we describe some applications and

More Notes on Galois Theory - Columbia Universitymath.columbia.edu/~rf/moregaloisnotes.pdf · More Notes on Galois Theory In this nal set of notes, we describe some applications and

Documents
Asymptotics and Meta-Distribution of the Signal-to ...mhaenggi/talks/simons2.pdf · Asymptotics and Meta-Distribution of the Signal-to-Interference Ratio in Wireless Networks Part

Asymptotics and Meta-Distribution of the Signal-to ...mhaenggi/talks/simons2.pdf · Asymptotics and Meta-Distribution of the Signal-to-Interference Ratio in Wireless Networks Part

Documents
The Nekrasov-Okounkov hook length formula: refinement ...irma.math.unistra.fr/~guoniu/papers/p62hgnekra.pdf · The Nekrasov-Okounkov hook length formula: refinement, elementary

The Nekrasov-Okounkov hook length formula: refinement ...irma.math.unistra.fr/~guoniu/papers/p62hgnekra.pdf · The Nekrasov-Okounkov hook length formula: refinement, elementary

Documents
Computations in Quantum K-theoryfengt/Okounkov.pdf · Computations in Quantum K-theory Andrei Okounkov Lecture notes by Tony Feng Contents ... This situation was too good to be true

Computations in Quantum K-theoryfengt/Okounkov.pdf · Computations in Quantum K-theory Andrei Okounkov Lecture notes by Tony Feng Contents ... This situation was too good to be true

Documents
arXiv · arXiv:1503.08916v2 [math.RT] 23 Feb 2016 NEWTON-OKOUNKOV BODIES FOR BOTT-SAMELSON VARIETIES AND STRING POLYTOPES FOR GENERALIZED DEMAZURE MODULES NAOKI FUJITA Abstract. A

arXiv · arXiv:1503.08916v2 [math.RT] 23 Feb 2016 NEWTON-OKOUNKOV BODIES FOR BOTT-SAMELSON VARIETIES AND STRING POLYTOPES FOR GENERALIZED DEMAZURE MODULES NAOKI FUJITA Abstract. A

Documents
Geometry and Topology SHP Fall ’18 - Columbia Universitymath.columbia.edu/~hliu/shp/f18-geometry-and-topology.pdf · 2018-12-11 · One easy way to classify them is by the number

Geometry and Topology SHP Fall ’18 - Columbia Universitymath.columbia.edu/~hliu/shp/f18-geometry-and-topology.pdf · 2018-12-11 · One easy way to classify them is by the number

Documents
OLGA ALEXANDROVNA LADYZHENSKAYA (7.03.1922-12.01.2004)math.columbia.edu/~okounkov/Ladyzhenskaya.pdf · Kovalevskaya. My fascination was not limited to her deep contributions in analysis

OLGA ALEXANDROVNA LADYZHENSKAYA (7.03.1922-12.01.2004)math.columbia.edu/~okounkov/Ladyzhenskaya.pdf · Kovalevskaya. My fascination was not limited to her deep contributions in analysis

Documents
OKOUNKOV BODIES: AN APPROACH OF FUNCTION FIELD …

OKOUNKOV BODIES: AN APPROACH OF FUNCTION FIELD …

Documents
Post -print of: Ciliberto, Ciro et al. “Newton -Okounkov ... filePost -print of: Ciliberto, Ciro et al. “Newton -Okounkov

Post -print of: Ciliberto, Ciro et al. “Newton -Okounkov ... filePost -print of: Ciliberto, Ciro et al. “Newton -Okounkov

Documents
Solutions-Problem set 3(section 2.4) - Columbia Universitymath.columbia.edu/~alishahi/Spring2016/Solutions... · Solutions-Problem set 3(section 2.4) Sunday, February 14, 2016 11:10

Solutions-Problem set 3(section 2.4) - Columbia Universitymath.columbia.edu/~alishahi/Spring2016/Solutions... · Solutions-Problem set 3(section 2.4) Sunday, February 14, 2016 11:10

Documents
Algebraic de Rham cohomology - Columbia Universitymath.columbia.edu/~dejong/seminar/note_on_algebraic_de_Rham_cohomology.p… · Algebraic de Rham cohomology is a Weil cohomology

Algebraic de Rham cohomology - Columbia Universitymath.columbia.edu/~dejong/seminar/note_on_algebraic_de_Rham_cohomology.p… · Algebraic de Rham cohomology is a Weil cohomology

Documents
Thethetacharacteristicofabranchedcovering …Alex Eskin, Andrei Okounkov, and Rahul Pandharipande August 2003 Abstract We give a group-theoretic description of the parity of a pull-back

Thethetacharacteristicofabranchedcovering …Alex Eskin, Andrei Okounkov, and Rahul Pandharipande August 2003 Abstract We give a group-theoretic description of the parity of a pull-back

Documents