Institute for Mathematics and its Applications University of Minnesota 400 Lind Hall 207 Church Street SE Minneapolis, MN 55455 
20112012 Program
See http://www.ima.umn.edu/20112012/ for a full description of the 20112012 program on Mathematics of Information.
All Day  University Holiday. The IMA is closed. 
2:30pm3:00pm  Coffee break  Lind Hall 400 
2:30pm3:00pm  Coffee break  Lind Hall 400 
2:30pm3:00pm  Coffee break  Lind Hall 400 
2:30pm3:00pm  Coffee break  Lind Hall 400 
2:30pm3:00pm  Coffee break  Lind Hall 400 
All Day  Martin Luther King, Jr. Day. The IMA is closed. 
2:30pm3:00pm  Coffee break  Lind Hall 400 
2:30pm3:00pm  Coffee break  Lind Hall 400 
2:30pm3:00pm  Coffee break  Lind Hall 400 
2:30pm3:00pm  Coffee break  Lind Hall 400 
2:30pm3:00pm  Coffee break  Lind Hall 400 
2:30pm3:00pm  Coffee break  Lind Hall 400  
3:00pm4:00pm  TBD  Mary Therese Padberg (University of Iowa)  Lind Hall 305  PS 
2:30pm3:00pm  Coffee break  Lind Hall 400 
12:00pm1:00pm  MSI Presentation  Lind Hall 305  S  
2:30pm3:00pm  Coffee break  Lind Hall 400 
2:30pm3:00pm  Coffee break  Lind Hall 400 
10:00am11:00am  Registration and coffee  Keller Hall 3176  SW1.302.1.12  
11:00am11:15am  Welcome to the IMA  Keller Hall 3180  SW1.302.1.12  
11:15am12:15pm  Exotic spheres via topological modular forms  Mark Behrens (Massachusetts Institute of Technology)  Keller Hall 3180  SW1.302.1.12 
12:15pm2:00pm  Lunch  SW1.302.1.12  
2:00pm3:00pm  Dynamical Milnor  John Fornaess (University of Michigan)  Keller Hall 3180  SW1.302.1.12 
2:30pm3:00pm  Coffee break  Lind Hall 400  
3:00pm3:10pm  Group photo  Keller Hall 3180  SW1.302.1.12  
3:10pm3:30pm  Coffee break  Keller Hall 3176  SW1.302.1.12  
3:30pm3:40pm  Film Showing  Niles Johnson will screen his short film on the 7dimensional exotic sphere  Niles Johnson (University of Georgia)  Keller Hall 3180  SW1.302.1.12 
3:40pm4:40pm  Around the genusminimizing property of algebraic curves.  Peter Kronheimer (Harvard University)  Keller Hall 3180  SW1.302.1.12 
5:00pm7:00pm  Reception at the Campus Club Bar Lounge  Campus Club  SW1.302.1.12 
8:30am9:00am  Coffee  Keller Hall 3176  SW1.302.1.12  
9:00am10:00am  Diffeomorphism groups of some high dimensional manifolds.  Ib Madsen (University of Copenhagen)  Keller Hall 3180  SW1.302.1.12 
10:00am10:30am  Coffee break  Keller Hall 3176  SW1.302.1.12  
10:30am11:30am  Geometric structures in dimension four  Gang Tian (Princeton University)  Keller Hall 3180  SW1.302.1.12 
11:30am2:00pm  Lunch  SW1.302.1.12  
2:00pm3:00pm  An overview of Heegaard Floer homology  Peter Ozsvath (Massachusetts Institute of Technology)  Keller Hall 3180  SW1.302.1.12 
3:00pm3:30pm  Coffee break  Keller Hall 3176  SW1.302.1.12  
3:30pm4:30pm  Cobordisms: old and new  Ulrike Tillmann (University of Oxford)  Keller Hall 3180  SW1.302.1.12 
6:00pm8:00pm  Banquet at McNamara Alumni Center, Heritage Gallery  McNamara Alumni Center  SW1.302.1.12 
8:30am9:00am  Coffee  Keller Hall 3176  SW1.302.1.12  
9:00am10:00am  The Milnor Conjectures and Quadratic Forms  Parimala Raman (Emory University)  Keller Hall 3180  SW1.302.1.12 
10:00am10:30am  Coffee break  Keller Hall 3176  SW1.302.1.12  
10:30am11:30am  A solution to the ArfKervaire invariant problem  Douglas Conner Ravenel (University of Rochester)  Keller Hall 3180  SW1.302.1.12 
11:30am1:00pm  Lunch  SW1.302.1.12  
1:00pm2:00pm  On the homology of Lie groups made discrete  Fabien Morel (LudwigMaximiliansUniversität München)  Keller Hall 3180  SW1.302.1.12 
2:00pm2:05pm  Closing remarks  Keller Hall 3180  SW1.302.1.12  
2:30pm3:00pm  Coffee break  Lind Hall 400 
Event Legend: 

PS  IMA Postdoc Seminar 
S  Seminar 
SW1.302.1.12  Second Abel Conference: A Celebration of John Milnor 
MSI Presentation  
Abstract: Ravi Chityala and Haoyu Yu from the Minnesota Supercomputer Institute will present on the resources available through MSI to postdocs and researchers. Ravi is MSI's Scientific Development and Visualization Lab Manager as well as an image processing and visualization developer. Haoyu is one of the scientific computing consultants and specializes in data mining.  
Mark Behrens (Massachusetts Institute of Technology)  Exotic spheres via topological modular forms 
Abstract: In response to a question of Milnor, a collaboration of Mike Hill, Mike Hopkins, Mark Mahowald, and myself have been attempting to determine in which dimensions exotic spheres exist. We will review the work of KervaireMilnor, which reduces the problem to questions in the stable homotopy groups of spheres. Thanks to the solution of the Kervaire invariant one problem, the problem is reduced to producing certain infinite families in the stable stems. I will discuss what we know, and don't know about the stable stems these days, and discuss some joint work with Mark Mahowald, producing a plethora of 192periodic families (the Hurewicz image of TMF) which give partial answers to the original question.  
John Fornaess (University of Michigan)  Dynamical Milnor 
Abstract: The talk is an introduction to problems and results in Dynamics centering around contributions to the field by Milnor.  
Peter Kronheimer (Harvard University)  Around the genusminimizing property of algebraic curves. 
Abstract: In his 1968 book on singularities of complex hypersurfaces, Milnor asked a question about the "unknotting number" of knots that arise as the links of singular points of complex plane curves. The question was eventually answered in the affirmative, using gauge theory, by Kronheimer and Mrowka in 1992. A proof requiring only combinatorial techniques was found much later, by Rasmussen, using Khovanov homology. In this talk we will explore a surprising relationship between these two proofs: an interplay between gauge theory and Khovanov homology.  
Ib Madsen (University of Copenhagen)  Diffeomorphism groups of some high dimensional manifolds. 
Abstract: I will discuss the homological structure of the classifying space of 2ddimensional (d1)connected manifolds. This generalizes the case of surfaces where the stable homology was predicted by the Mumford conjecture and the actual homology by the Harer stability theorem. The methods involve rational homotopy theory and surgery theory.  
Fabien Morel (LudwigMaximiliansUniversität München)  On the homology of Lie groups made discrete 
Abstract: In this talk I will recall and discuss the conjecture of John Milnor on the homology of Lie groups made discrete, as well as its algebraic analogue, the Friedlander conjecture. In a work still partially in progress, we give a proof of that conjecture for algebraic groups G over algebraically closed fields. I will sketch some ideas behind this proof, in particular the role of A1homotopy theory (already used by V. Voevodsky to prove other conjectures of John Milnor concerning mod 2 Galois cohomology and quadratic forms) and the role of a new object attached to G, its simplicial building. We will emphasize the case G = SL_2, SL_3,... 

Peter Ozsvath (Massachusetts Institute of Technology)  An overview of Heegaard Floer homology 
Abstract: Heegaard Floer homology is an invariant for knots and threemanifolds defined using methods from Lagrangian Floer homology and symplectic geometry. I will describe a concrete model for computing this invariant for knots in S^{3}. Time permitting, I will turn to some further developments in the theory. The material I will describe is joint with collaborators, including Robert Lipshitz, Ciprian Manolescu, Dylan Thurston, and Zoltán Szabó.  
Parimala Raman (Emory University)  The Milnor Conjectures and Quadratic Forms 
Abstract: The Milnor conjectures relating the graded Witt ring and the mod2 Galois cohomology ring of a field have been a driving force in the algebraic theory of quadratic forms. The degree 2 norm residue isomorphism, due to Merkurjev, established the first case of the Milnor conjectures and ushered in a new era in the theory of quadratic forms. We shall explain some of the consequences of the Milnor conjectures, with particular reference to invariants of fields associated to quadratic forms.  
Douglas Conner Ravenel (University of Rochester)  A solution to the ArfKervaire invariant problem 
Abstract: The 1963 work of KervaireMilnor on the classification of exotic spheres in terms of the stable homotopy groups of spheres left one unanswered question in dimensions congruent to two modulo four. Subsequent work by BrownPeterson and Browder gave the answer in all dimensions that are not two less than a power of two. We solve the problem in all remaining cases except 126. Our answer is the opposite of the one that many sought in the 1970s.  
Gang Tian (Princeton University)  Geometric structures in dimension four 
Abstract: For the last 50 years or longer, it has been a basic question in topology to study differential structures of a given manifold. In the early 80's, Donaldson used antiself solutions of the YangMills equation to study differentiable 4manifolds and construct a very useful class of differentiable invariants for 4manifolds. In particular, he was able to show that a topological 4manifold may have different differentiable structures. In this talk, I will discuss geometric methods in studying 4manifolds and in particular, some recent progress.  
Ulrike Tillmann (University of Oxford)  Cobordisms: old and new 
Abstract: Cobordisms have played an important role in the classification of manifolds ever since the 1950s. In a different way, they are fundamental to the mathematical formulation for topological quantum field theory. We will explain how recent results shed new light on both theories. 
Alejandro Adem  University of British Columbia  1/29/2012  2/1/2012 
Anar Akhmedov  University of Minnesota  1/30/2012  2/1/2012 
Brendan P.W. Ames  University of Minnesota  8/31/2011  8/30/2012 
Arindam Banerjee  University of Minnesota  9/1/2011  6/30/2012 
Hyman Bass  University of Michigan  1/29/2012  2/1/2012 
Maria Basterra  University of New Hampshire  1/29/2012  2/1/2012 
Mark Behrens  Massachusetts Institute of Technology  1/29/2012  1/31/2012 
Julie Bergner  University of California, Riverside  1/29/2012  2/1/2012 
Andrew John Beveridge  Macalester College  9/1/2011  5/15/2012 
Jodi Black  Bucknell University  1/29/2012  2/1/2012 
Sergey G Bobkov  University of Minnesota  9/1/2011  6/30/2012 
William Browder  Princeton University  1/29/2012  2/1/2012 
Luca Capogna  University of Minnesota  8/15/2011  6/10/2012 
Sylvain Edward Cappell  New York University  1/29/2012  2/1/2012 
Aycil Cesmelioglu  University of Minnesota  9/30/2010  8/30/2012 
Paolo Codenotti  University of Minnesota  9/1/2011  8/30/2012 
Frederick R. Cohen  University of Rochester  1/29/2012  2/1/2012 
Jintao Cui  University of Minnesota  8/31/2010  8/30/2012 
Xiaoyi Cui  University of Minnesota  1/30/2012  2/1/2012 
Isabel K. Darcy  University of Iowa  9/1/2011  6/30/2012 
James F Davis  Indiana University  1/29/2012  2/1/2012 
William G. Dwyer  University of Notre Dame  1/29/2012  2/1/2012 
Geir Ellingsrud  University of Oslo  1/29/2012  2/1/2012 
Leonardo Espin  NONE  9/1/2011  6/30/2012 
John Fornaess  University of Michigan  1/28/2012  2/1/2012 
Søren Galatius  Stanford University  1/29/2012  2/1/2012 
Tingran Gao  Duke University  1/29/2012  2/1/2012 
Carlos Andres GaravitoGarzon  University of Minnesota  9/8/2011  6/30/2012 
Stefan M. Giovan  University of Texas at Dallas  1/9/2012  1/15/2012 
Samuel Gitler  CINVESTAV  1/29/2012  2/1/2012 
Paul Goerss  Northwestern University  1/29/2012  2/1/2012 
Robert Gulliver  University of Minnesota  1/30/2012  2/1/2012 
Ian Hambleton  McMaster University  1/29/2012  2/1/2012 
Michael Hill  University of Virginia  1/29/2012  2/1/2012 
Michael J. Hopkins  Harvard University  1/28/2012  2/1/2012 
Yulia Hristova  University of Minnesota  9/1/2010  8/31/2012 
Dale Husemoller  Max Planck Institute for Mathematics  1/29/2012  2/1/2012 
Bjørn Jahren  University of Oslo  1/29/2012  2/2/2012 
Niles Johnson  University of Georgia  1/29/2012  2/1/2012 
Donald Kahn  University of Minnesota  1/30/2012  2/1/2012 
Hee Jung Kim  Pohang University of Science and Technology (POSTECH)  1/29/2012  2/1/2012 
Robion Kirby  University of California, Berkeley  1/29/2012  2/1/2012 
Peter Kronheimer  Harvard University  1/29/2012  1/31/2012 
Kee Yuen Lam  University of British Columbia  1/29/2012  2/1/2012 
Tsit Yuen Lam  University of California, Berkeley  1/29/2012  2/1/2012 
Tyler Lawson  University of Minnesota  1/30/2012  2/1/2012 
Gilad Lerman  University of Minnesota  9/1/2011  6/30/2012 
Stephen D. Levene  University of Texas at Dallas  1/9/2012  1/15/2012 
TianJun Li  University of Minnesota  1/30/2012  2/1/2012 
Wenbo Li  University of Delaware  9/1/2011  5/30/2012 
Ayelet Lindenstrauss  Indiana University  1/29/2012  2/1/2012 
Xin Liu  University of Minnesota  8/31/2011  8/30/2012 
Tom Lyche  University of Oslo  1/29/2012  2/1/2012 
Shiqian Ma  University of Minnesota  8/31/2011  8/30/2013 
Ib Madsen  University of Copenhagen  1/29/2012  2/1/2012 
Yu (David) Mao  University of Minnesota  8/31/2010  8/30/2012 
Albert Marden  University of Minnesota  1/30/2012  2/1/2012 
Gabriela Martínez  University of Minnesota  8/31/2011  8/30/2013 
John McCleary  Vassar College  1/29/2012  2/2/2012 
Dusa McDuff  Barnard College  1/27/2012  2/2/2012 
William Messing  University of Minnesota  1/30/2012  2/1/2012 
John Milnor  SUNY  1/27/2012  2/2/2012 
Dimitrios Mitsotakis  University of Minnesota  10/27/2010  8/31/2012 
Jack Morava  Johns Hopkins University  1/29/2012  2/2/2012 
Fabien Morel  LudwigMaximiliansUniversität München  1/28/2012  2/2/2012 
Walter Neumann  Barnard College  1/29/2012  1/31/2012 
Peter J. Olver  University of Minnesota  1/30/2012  2/1/2012 
Kent Orr  Indiana University  1/29/2012  2/1/2012 
Peter Ozsvath  Massachusetts Institute of Technology  1/29/2012  2/1/2012 
Mary Therese Padberg  University of Iowa  8/16/2011  1/26/2012 
Hyungju Park  Pohang University of Science and Technology (POSTECH)  1/29/2012  2/1/2012 
Erik Kjær Pedersen  University of Copenhagen  1/29/2012  2/1/2012 
Candice Renee Price  University of Iowa  8/1/2011  7/31/2012 
Weifeng (Frederick) Qiu  University of Minnesota  8/31/2010  8/30/2012 
Anca Ruxandra Radulescu  University of Colorado  1/29/2012  2/1/2012 
Parimala Raman  Emory University  1/29/2012  2/1/2012 
Andrew Ranicki  University of Edinburgh  1/29/2012  2/1/2012 
Douglas Conner Ravenel  University of Rochester  1/29/2012  2/1/2012 
Victor Reiner  University of Minnesota  1/30/2012  2/1/2012 
Dale Preston Odin Rolfsen  University of British Columbia  1/29/2012  2/1/2012 
Jeff A. Rosoff  Gustavus Adolphus College  1/29/2012  2/1/2012 
Lee Rudolph  Clark University  1/29/2012  2/1/2012 
Guillermo R. Sapiro  University of Minnesota  9/1/2011  5/31/2012 
Radmila Sazdanović  University of Pennsylvania  1/29/2012  2/1/2012 
Robert Glenn Scharein  Hypnagogic Software  1/5/2012  2/4/2012 
George R Sell  University of Minnesota  1/30/2012  2/1/2012 
Laurence Carl Siebenmann  Université de Paris XI (ParisSud)  1/29/2012  2/3/2012 
Steven Sperber  University of Minnesota  1/30/2012  2/1/2012 
Arthur Szlam  University of Minnesota  8/31/2011  8/30/2012 
Gang Tian  Princeton University  1/29/2012  2/1/2012 
Ulrike Tillmann  University of Oxford  1/28/2012  2/1/2012 
Victor Turchin  Kansas State University  1/29/2012  2/1/2012 
Divyanshu Vats  University of Minnesota  8/31/2011  8/30/2012 
Jonathan Wahl  University of North Carolina  1/30/2012  2/1/2012 
Lan Wang  University of Minnesota  1/19/2012  5/12/2012 
Helen Wong  Carleton College  1/30/2012  2/1/2012 
Lingzhou Xue  University of Minnesota  9/1/2011  6/30/2012 
Teng Zhang  University of Minnesota  8/31/2011  8/30/2012 