Helmut Hofer,  Aleksey Pogorelov, Gilles Pisier, Marcel Berger as well as

2002-2003 Viktor L. Ginzburg (UC Santa Cruz) Periodic orbits of Hamiltonian systems:

twisted geodesic flows and relative symplectic invariants-I,II

2003-2004  Alexander Givental (UC Berkeley)  Symmetries of Gromov-Witten Theory-I,II

 2004-2005 Dmitri Burago (PennState) Choosing "good" coordinates: from asymptotic geometry of tori to boundary rigidity-I.II
 2005-2006 Shmuel Weinberger (U. Chicago)

I. Using the telescope as a microscope: Large scale determination of small scale structure

II. Novikov conjectures and Novikov theorems

 2006-2007  Michael Kapovich (University of California, Davis)

I. Products of matrices

II. How to compute triangle inequalities

 2007-2008  Albert Fathi (ENS-Lyon)  ( abstracts)  
I. On smooth critical subsolutions of the Hamilton-Jacobi equation

II. Hamilton-Jacobi and Denjoy-Schwartz: why dynamics matters

in the regularity of smooth subsolutions?

 2007-2008 Shlomo Sternberg (Harvard)

A report on recent work of Alekseev, Bursztyn and Meinrenken
I. The symplectic category and the split orthogonal category 

II. The Alekseev, Bursztyn, Meinrenken category

 For the abstracts click here

 2011 Helmut Hofer (IAS, Princeton)

I. Symplectic Dynamics

II. Generalizations of Fredholm theory. 

For the abstracts click here

 2012 Paul Biran (ETH, Zurich)

Lagrangian topology: geometry, algebra and bureaucracy

I. Old and new invariants of Lagrangian manifolds and what to do with them

II. Geometric and algebraic aspects of Lagrangian topology

and organizational matters

Abstracts of  Blumenthal Lectures 2012