## Distinguished Lecture Series

Every year, the Distinguished Lecture Series (DLS) brings two to four eminent mathematicians to UCLA for a week or more to give a lecture series on their field, and to meet with faculty and graduate students.

The first lecture of each series is aimed at a general mathematical audience, and offers a rare opportunity to see the state of an area of mathematics from the perspective of one of its leaders. The remaining lectures in the series are usually more advanced, concerning recent developments in the area.

*Previous speakers of the DLS include:* Peter Sarnak, Peter Schneider, Zhenghan Wang, Pierre Colmez, Etienne Ghys, Goro Shimura, Jean Bellissard, Andrei Suslin, Pierre Deligne, Michael Harris, Alexander Lubotzky, Shing-Tau Yau, Hillel Furstenberg, Robert R. Langlands, Clifford Taubes, Louis Nirenberg, Oded Schramm, Louis Nirenberg, I.M. Singer, Jesper Lutzen, L.H. Eliasson, Raoul Bott, Dennis Gaitsgory, Gilles Pisier, Gregg Zuckerman, Freydoon Shahidi, Alain Connes, Jöran Friberg, David Mumford, Sir Michael Atiyah, Jean-Michel Bismut, Jean-Pierre Serre, G. Tian, N. Sibony, C. Deninger, Peter Lax, and Nikolai Reshetikhin, Horng-Tzer Yau, Ken Ono, Leonid Polterovich, Barry Mazur, Grigori Margulis, Mario Bonk, Avi Wigderson, John Coates, Charles Fefferman, C. David Levermore, Shouwu Zhang.

**The DLS is currently supported by the Larry M. Wiener fund.**

## Past Lectures

University of Chicago Visit: 05/22/2018 to 05/24/2018 |
MIT Visit: 05/08/2018 to 05/10/2018 |
University of Sydney Visit: 05/30/2017 to 06/01/2017 |

College de France Visit: 05/09/2017 to 05/11/2017 |
Princeton University Visit: 04/04/2017 to 04/06/2017 |
Massachusetts Institute of Technology Visit: 01/24/2017 to 01/26/2017 |

Stanford University Visit: 11/14/2016 to 11/18/2016 |
Columbia University Visit: 05/17/2016 to 05/19/2016 |
Harvard University Visit: 04/25/2016 to 04/28/2016 |

Princeton University Visit: 05/19/2015 to 05/21/2015 |
Columbia University Visit: 02/17/2015 to 02/19/2015 |
Microsoft Research Visit: 11/03/2014 to 11/06/2014 |

Cambridge University Visit: 10/04/2014 to 10/10/2014 |
Duke University / UC Berkeley Visit: 05/19/2014 to 05/23/2014 |
IAS, Princeton Visit: 10/30/2013 to 11/06/2013 |

Texas A&M Visit: 10/22/2013 to 10/26/2013 |
Eötvös Loránd University Visit: 05/28/2013 to 05/30/2013 |
Rheinische Friedrich-Wilhelms-Universität Bonn Visit: 05/07/2013 to 05/09/2013 |

University of Strasbourg Visit: 04/03/2013 to 04/20/2013 |
Massachusetts Institute of Technology Visit: 01/24/2012 to 01/26/2012 |
Hebrew University Visit: 04/26/2011 to 04/28/2011 |

## Upcoming Lectures

### Peter Oszvath

#### Princeton University

**Visit:**

**Lectures:**

**Series title: Holomorphic disks, algebra, and knot invariants**

**Lecture 1 (6/6): An introduction to knot Floer homology**

Knot Floer homology is an invariant for knots in three-dimensional

space, defined using methods from symplectic geometry (the theory of

pseudo-holomorphic curves). After giving some geometric motivation

for its construction, I will sketch the construction of this

invariant, and describe some of its key properties and

applications. Knot Floer homology was originally defined in joint work

with Zoltan Szabo, and independently by Jacob Rasmussen; but this

lecture will touch on work of many others. This first lecture is

intended for a general audience.

**Lecture 2 (6/7): Bordered Floer homology**

Bordered Floer homology is an invariant for three-manifolds with

parameterized boundary. It associates a differential graded algebra to

a surface, and certain modules to three-manifolds with specified

boundary. I will describe properties of this invariant, with a

special emphasis on its algebraic structure. Bordered Floer homology

was defined in joint work with Dylan Thurston and Robert Lipshitz.

**Lecture 3 (6/8): A bordered approach to knot Floer homology**

I will describe current work with Zoltan Szabo, in which we compute a

suitable specialization of knot Floer homology, using bordered

techniques. The result is a purely algebraic formulation of knot Floer

homology, which can be explicitly computed even for fairly large knots.