MPLW Recent developments in 3-manifold theory (2012)

About the Speaker :

David Gabai is  a professor at Princeton University.Focused on low-dimensional topology and hyperbolic geometry, he is a leading researcher in those subjects. David Gabai received his S.B. degree from the MIT in 1976 and his Ph.D. from Princeton in 1980 under the direction of William Thurston. During his Ph.D., he obtained foundational results on the foliations of 3-manifolds; these results are the basis of many research areas in geometric topology now. After positions at Harvard and U Penn, he spent most of the years between 1986–2001 at Caltech, and has been at Princeton University since 2001. In 2004, David Gabai was awarded the Oswald Veblen Prize in Geometry which is one of the most prestigious prizes in geometric topology, given every 3 years by the American Mathematical Society. In 2011, he was elected to the United States National Academy of Sciences.David Gabai has played a key role in the field of topology of 3-manifolds in the last 3 decades. Some of the foundational results he and his collaborators have proved are as follows: Existence of

taut foliation in 3-manifolds, Property R Conjecture, foundation of essential laminations, Seifert fiber space conjecture, rigidity of homotopy hyperbolic 3-manifolds, weak hyperbolization for 3-manifolds with genuine lamination, Smale Conjecture for hyperbolic 3-manifolds,Marden's Tameness Conjecture, Weeks's manifold being the minimum volume closed hyperbolic 3-manifold.

Abstract :

 The first lecture will be accessible to a general audience.It will survey many of the spectacular results that have been obtained in 3-dimensional topology and geometry within the last 10 years.  Lectures 2-5 will focus on the works of Agol, Wise and Kahn-Markovic that give a proof of the virtual Haken conjecture.

Link to school

http://math.iisc.ernet.in/~gadgil/mplw.html

List of selected applicants.

http://www.iisc.ernet.in/about-iisc/howtoreach.php