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IMA Tutorial

What is Algebraic Geometry?

April 13-14, 2007
Organizers:
David A. Cox Mathematics, Amherst College
Bernd Sturmfels Mathematics, University of California - Berkeley

Schedule Participants Program Application Feedback
IMA Live Streaming and Webcasting Maps
Abstracts and Talk Materials Dining Guide

Description:

In recent years, there have been more and more applications of algebraic geometry. Scholars in fields ranging from electrical engineering to operations research have found themselves learning about ideals, varieties, and the algorithms used to compute with these objects. However, the applications of algebraic geometry, though varied and of great interest, do not convey the full depth of the field. What do algebraic geometers consider to be the heart of their subject? This is the central question of the tutorial.

It follows that the tutorial will have an unusual focus. The talks will not concentrate on applications; rather, the emphasis will be on having experts explain some of the central ideas of algebraic geometry to an audience who knows only basic facts about polynomials and varieties.

The topics covered will include intersection theory, Grassmannians, singularities, toric varieties, curve and surface theory, commutative algebra, and real algebraic geometry. While this list has many omissions (such as arithmetic algebraic geometry and Hodge theory), the hope is that the tutorial will give an accessible and compelling introduction to the richness of algebraic geometry.

Schedule
Friday | Saturday | 
  Friday, April 13
8:15a-8:45a Coffee and registration   EE/CS 3-176
8:45a-9:00a Welcome and opening remarks David A. Cox (Amherst College), Bernd Sturmfels (University of California) EE/CS 3-180
9:00a-10:30a Intersection theory Jessica Sidman (Mount Holyoke College) EE/CS 3-180
10:30a-11:00a Coffee   EE/CS 3-176
11:00a-12:30p Curves and surfaces Ragni Piene (University of Oslo) EE/CS 3-180
12:30p-2:00p Lunch    
2:00p-3:30p Toric geometry Diane Maclagan (Rutgers University) EE/CS 3-180
3:30p-3:45p Coffee   EE/CS 3-176
3:45p-4:30p Second chances   EE/CS 3-180
6:30p-8:30p Pizza Party and viewing the American premiere of Hauser's "Zeroset" video   Lind Hall 400
  Saturday, April 14
9:00a-10:30a Resolution of singularities Herwig Hauser (Leopold-Franzens Universität Innsbruck) EE/CS 3-180
10:30a-11:00a Coffee   EE/CS 3-176
11:00a-12:30p Grassmannians and Schubert varieties Sara Billey (University of Washington) EE/CS 3-180
12:30p-2:00p Lunch    
2:00p-3:30p Real algebraic geometry Claus Scheiderer (Universität Konstanz) EE/CS 3-180
3:30p-3:45p Coffee   EE/CS 3-176
3:45p-4:30p Second chances   EE/CS 3-180

LIST OF CONFIRMED PARTICIPANTS

Name Department Affiliation
Nicolas Addington Department of Mathematics University of Wisconsin
Silvia Adduci Department of Mathematics University of Texas
Douglas N. Arnold Institute for Mathematics and its Applications University of Minnesota
Donald G. Aronson Institute for Mathematics and its Applications University of Minnesota
Kapila Rohan Attele Department of Mathematics Chicago State University
Saugata Basu School of Mathematics Georgia Institute of Technology
Daniel J. Bates Institute for Mathematics and its Applications University of Minnesota
Sara Billey Department of Mathematics University of Washington
Víctor Blanco Izquierdo Department of Statistics and Operational Research University of Sevilla
Peter Bürgisser Institute of Mathematics Universität Paderborn
Ionut Ciocan-Fontanine Institute for Mathematics and its Applications University of Minnesota
David A. Cox Department of Mathematics and Computer Science Amherst College
Sandra Di Rocco Department of Mathematics Royal Institute of Technology (KTH)
Kenneth R. Driessel Department of Mathematics Iowa State University
Vanja Dukic Department of Health Studies (Biostatistics) University of Chicago
Makan Fardad Department of Electrical and Computer Engineering University of Minnesota
Ignacio Fernandez Rua Department of Mathematics University of Oviedo
Jayantha Gan Hewage Department of Mathematics and Statistics Oakland University
Elisa Gorla Institut für Mathematik Universität Zürich
Jason E. Gower Institute for Mathematics and its Applications University of Minnesota
Michael Hardy School of Mathematics University of Minnesota
Ananthnarayan Hariharan Department of Mathematics University of Kansas
Herwig Hauser Institut für Mathematik Leopold-Franzens Universität Innsbruck
David Haws Department of Mathematics University of California
Milena Hering Institute for Mathematics and its Applications University of Minnesota
Patricia Hersh Department of Mathematics Indiana University
Benjamin J. Howard   University of Minnesota
Evelyne Hubert Project CAFE Institut National de Recherche en Informatique Automatique (INRIA)
Farhad Jafari Department of Mathematics University of Wyoming
Anders Nedergaard Jensen Institut for Matematiske Fag Aarhus University
Ben Jordan Department of Mathematics University of Minnesota
Steve Kaliszewski Department of Mathematics and Statistics Arizona State University
Mordechai Katzman Department of Pure Mathematics University of Sheffield
Michael Kerber   Universität Kaiserslautern
Michael Kettner School of Mathematics Georgia Institute of Technology
Si-Jo Kim Department of Chemicial Engineering Andong National University
Song-Hwa Kwon   University of Minnesota
Niels Lauritzen Institut for Matematiske Fag Aarhus University
Kwankyu Lee School of Computational Science Korea Institute for Advanced Study (KIAS)
Anton Leykin Institute for Mathematics and its Applications University of Minnesota
Hstau Y Liao   University of Minnesota
Gennady Lyubeznik School of Mathematics University of Minnesota
Diane Maclagan Department of Mathematics Rutgers University
Gearoid P. MacSithigh Department of Mechanical and Aerospace Engineering University of Missouri
Guillermo Mantilla Soler Department of Mathematics University of Wisconsin
Susan Margulies Department of Computer Science University of California
Hannah Markwig   University of Minnesota
Thomas Markwig Department of Mathematics Universität Kaiserslautern
Martin Mereb Department of Mathematics University of Texas
Lisa A. Miller Department of Mechanical Engineering University of Minnesota
Michal Mlejnek Department of Modeling and Simulation Corning
Richard B. Moeckel School of Mathematics University of Minnesota
James Murdock Department of Mathematics Iowa State University
Dinkar Mylaraswamy Honeywell Technology Center Honeywell
Jiawang Nie   University of Minnesota
Michael E. O'Sullivan Department of Mathematics and Statistics San Diego State University
Ekin Ozman Department of Mathematics University of Wisconsin
Casian Pantea Department of Mathematics University of Wisconsin
Ragni Piene Centre of Mathematics for Applications University of Oslo
Bharath Rangarajan Department of Mechanical Engineering University of Minnesota
Patrick Rault Department of Mathematics University of Wisconsin
Victor Reiner School of Mathematics University of Minnesota
Joel Roberts School of Mathematics University of Minnesota
J. Maurice Rojas Department of Mathematics Texas A & M University
Bjarke Hammersholt Roune Department of Mathematics Aarhus University
Rakinawasan Sanjeewa Department of Mathematics and Statistics Oakland University
Vishal Saraswat School of Mathematics University of Minnesota
Arnd Scheel Institute for Mathematics and its Applications University of Minnesota
Claus Scheiderer Fachbereich Mathematik und Statistik Universität Konstanz
Karl Schmedders Kellogg School of Management Northwestern University
Chehrzad Shakiban Institute of Mathematics and its Application University of Minnesota
Jessica Sidman Department of Mathematics and Statistics Mount Holyoke College
Delphene Simpson Department of Mathematics University of Minnesota
Donald H. Singley   3M
Meera Sitharam Department of Computer Science University of Florida
Steven Sperber School of Mathematics University of Minnesota
Dumitru Stamate School of Mathematics University of Minnesota
Ileana Streinu Department of Computer Science Smith College
Gerhard Strohmer   University of Iowa
Bernd Sturmfels Department of Mathematics University of California
Kathleen Iwancio Thompson   North Carolina State University
Carl Toews   University of Minnesota
Cindy Traub Department of Mathmatics & Computer Science St. Mary's College of Maryland
Ya-lun Tsai Department of Mathematics University of Minnesota
Seyfi Turkelli Department of Mathematics University of Wisconsin
John Voight   University of Minnesota
Galbodayage Sujeeva Wijesiri Department of Mathematics and Statistics Oakland University
Troels Windfeldt Department of Mathematics University of Copenhagen
Fei Yang Department of Biomedical Engineering University of Minnesota
Josephine Yu Department of Mathematics University of California
Fabrizio Zanello Department of Mathematics University of Notre Dame
Hongchao Zhang Institute for Mathematics and its Applications University of Minnesota