### Conference Program

8:00AM-12:00PM

We ask that all conference attendees please stop by our registration desk in 307 Mathematics to confirm their registration and collect their conference packets, including banquet tickets, campus map, conference schedule, local dining information, name badges, and reimbursement information.

All lectures take place in 312 Mathematics.

All coffee breaks take place in 508 Mathematics.

**Conference Registration in 307 Mathematics**(Tuesday through Saturday)We ask that all conference attendees please stop by our registration desk in 307 Mathematics to confirm their registration and collect their conference packets, including banquet tickets, campus map, conference schedule, local dining information, name badges, and reimbursement information.

All lectures take place in 312 Mathematics.

All coffee breaks take place in 508 Mathematics.

#### Tuesday

8:15AM-8:45AM

**Coffee and Bagels in 508 Mathematics**
8:50AM-9:00AM

**Welcome Remarks**
9:00AM-10:00AM

**Edward Witten**(Institute for Advanced Study) On The Work of Phong and D'Hoker On Superstring Perturbation Theory

view abstract
10:00AM-11:00AM

**Igor Krichever**(Columbia University)The universal Whitham hierarchy and geometry of moduli spaces of curves with punctures

view abstract
11:00AM-11:30AM

**Coffee Break in 508 Mathematics**
11:30AM-12:30PM

**Eric D'Hoker**(University of California, Los Angeles)Superstring Perturbation Theory at Two Loops

view abstract
12:30PM-2:10PM Lunch

2:15PM-3:15PM

**Andrei Okounkov**(Columbia University)Quantum groups and quantum cohomology

view abstract
3:15PM-4:00PM

**Group Photo near Mathematics Building and Coffee Break in 508 Mathematics**
4:00PM-5:00PM

**Clément Hongler**(Columbia University)Planar Ising model: discrete and continuous structures

view abstract
5:00PM-6:00PM

**Zhiqin Lu**(University of California, Irvine)The essential spectrum of the Laplacian

view abstract
6:00PM-7:30PM

**Wine and Cheese Reception**508 Mathematics

#### Wednesday

8:15AM-8:55AM

**Coffee and Bagels in 508 Mathematics**
9:00AM-10:00AM

**Elias M. Stein**(Princeton University)The development of some ideas of Phong in the
theory of singular integral and pseudo-differential operators

10:00AM-11:00AM

**Allan Greenleaf**(University of Rochester)Is there a general theory of Fourier integral operators?

view abstract
11:00AM-11:30AM

**Coffee Break in 508 Mathematics**
11:30AM-12:30PM

**Gunther Uhlmann**(University of Washington)Travel Time Tomography and Boundary Rigidity

view abstract
12:30PM-2:20PM Lunch

2:30PM-3:30PM

**Michael E. Taylor**(University of North Carolina)Toeplitz operators on uniformly rectifiable domains.

view abstract
3:30PM-4:00PM

**Coffee Break in 508 Mathematics**
4:00PM-5:00PM

**Tien-Cuong Dinh**(Université Pierre et Marie Curie)Positive closed currents and dynamics of Henon maps in higher dimension

view abstract
5:00PM-6:00PM

**Tristan C. Collins**(Columbia University)The boundary of the Kahler cone

view abstract
#### Thursday

8:15AM-8:55AM

**Coffee and Bagels in 508 Mathematics**
9:00AM-10:00AM

**Charles Fefferman**(Princeton University)Fitting a smooth function to data.

view abstract
10:00AM-11:00AM

**Zbigniew Błocki**(Uniwersytet Jagielloński)Hormander's d-bar-estimate, some generalizations
and new applications

view abstract
11:00AM-11:30AM

**Coffee Break in 508 Mathematics**
11:30AM-12:30PM

**Jacob Sturm**(Rutgers University)Some applications of the Bergman kernel expansion

view abstract
12:30PM-2:20PM Lunch

2:30PM-3:30PM

**Xu-Jia Wang**(Australian National University)Potential theory for nonlinear elliptic equations

view abstract
3:30PM-4:00PM

**Coffee Break in 508 Mathematics**
4:00PM-5:00PM

**Vincent Guedj**(Institut de Mathématiques de Toulouse)Regularizing properties of the twisted Kaehler-Ricci flow

view abstract
5:00PM-6:00PM

**Yu Wang**(Columbia University)Small Perturbation Solutions of the Complex Monge-Ampère Equation

view abstract
#### Friday

8:15AM-8:55AM

**Coffee and Bagels in 508 Mathematics**
9:00AM-10:00AM

**Neil S. Trudinger**(Australian National University)Weak continuity of nonlinear operators

view abstract
10:00AM-11:00AM

**Sławomir Kołodziej**(Uniwersytet Jagielloński)The complex Hessian equations

view abstract
11:00AM-11:30AM

**Coffee Break in 508 Mathematics**
11:30AM-12:30PM

**Lei Ni**(University of California, San Diego)Entropy and Gauss curvature flow

view abstract
12:30PM-2:20PM Lunch

2:30PM-3:30PM

**Pengfei Guan**(McGill University)New curvature estimates for Weingarten equations

view abstract
3:30PM-4:00PM

**Coffee Break in 508 Mathematics**
4:00PM-5:00PM

**Ahmed Zeriahi**(Institut de Mathématiques de Toulouse)Convergence of the normalized Kaehler-Ricci flow on Fano varieties

view abstract
5:00PM-6:00PM

**Adam Jacob**(Harvard University)On the Bubbling set of the Yang Mills flow

view abstract
#### Saturday

8:15AM-8:55AM

**Coffee and Bagels in 508 Mathematics**
9:00AM-10:00AM

**Shing-Tung Yau**(Harvard University)On the pseudonorm project towards birational classification of algebraic varieties

view abstract
11:00AM-11:30AM

**Coffee Break in 508 Mathematics**
11:30AM-12:30PM

**Steve Zelditch**(Northwestern University)Complex geometry of Laplace eigenfunctions

view abstract
12:30PM-1:50PM Lunch

3:00PM-3:45PM

**Group Photo near Mathematics Building and Coffee Break in 508 Mathematics**
3:45PM-4:45PM

**Mei-Chi Shaw**(University of Notre Dame)Non-closed range property for the Cauchy-Riemann operator in L2
on a Stein domain

view abstract
4:45PM-5:45PM

**Bernard Shiffman**(Johns Hopkins University)Critical points of random sections of holomorphic line bundles

view abstract
5:45PM-7:15PM

**Cocktail reception**Italian
Academy, first floor, 1161 Amsterdam Avenue (between 116th and 118th streets).