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Japan-U.S. Mathematics Institute (JAMI) and Johns Hopkins University, Department of Mathematics 

Conference on

Asymptotic and Effective Results in Complex Geometry

In Honor of Bernie Shiffman's 60th Birthday
 

March 15-21, 2004
 

Organizers: J.P. Demailly, Y.T. Siu, and S. Zelditch
Partial support for this conference is anticipated from the National Science Foundation.

Schedule of Talks

 

 

Monday 3/15

 

 

11:00 - 12:00  

Registration

 

  1:00 -  1:50

N. Mok

Effective estimates on automorphism groups of Fano manifolds of Picard number 1

  2:00 -  2:30

R. Ponge

Holomorphic Morse inequalities in CR geometry

  2:40 -  3:10

L. Lempert

The Cauchy-Riemann equations in N variables, as N varies

  3:10                    

Coffee

 

  3:40 -  4:30

S. Ji

Some results on holomorphic mappings between balls of different dimensions

  4:40 -  5:10

J. Duval

A hyperbolic sextic surface in P3

  5:20 -  5:50

S. Lu

A Canonical decompostion of compact complex orbifolds and some effective consequences

 

 

 

Tuesday 3/16

 

 

  8:30 -  9:00  

Registration

 

  9:00 -  9:50

B. Helffer

Semi-classical analysis for groundstate of Schr\"odinger operator with magnetic fields

10:00 - 10:30

H. Donnelly

Spectral theory for tensor products of Hermitian holomorphic line bundles

10:30                      

Coffee

 

11:00 - 11:30

N. Stanton

Spectral Invariants of CR Manifolds

11:40 - 12:10

J. Song

The alpha-invariant on toric Fano manifolds

Afternoon session

 

 

  2:00 - 2:30

J. M. Rojas

Arithmetic and Algorithmic Aspects of Fewnomials

  2:40 - 3:10

A. Sommese

Numerically decomposing the intersection of  algebraic varieties.

  3:10                      

Coffee

 

  3:20 - 3:40

C. Berenstein

Analytic residues along algebraic cycles

  4:00 - 4:30

A. Yger

Multidimensional residues and traces; algebraic and analytic aspects

  4:30 - 5:30                  

 

Open session

 

 

 

Wednesday 3/17

 

 

  8:30 - 9:00  

Registration

 

  9:00 - 9:50

G. Schumacher

Asymptotic behavior of Weil-Petersson metrics

10:00 - 10:30

W.K. To

Asymptotic behavior of the Takhtajan-Zograf metric on Teichmüller space

10:30                      

Coffee

 

11:00 - 11:30

R. Wentworth

Recent results in Weil-Petersson geometry

11:40 - 12:10

Z. Lu

Generalized Hodge metrics and BCOV torsion

Afternoon session

 

 

  2:00 - 2:50

J. Kollár

Effective Nullstellensatz

  3:00 - 3:50

T. Ohsawa

Strict Kaehler convexity and the Bergman metric

  3:50                                 

Coffee

 

  4:20 - 4:50

L. Bonavero

Some recent results on the pseudo-index of Fano manifolds

  5:00 - 5:30

B. Weinkove

A complex Frobenius theorem and the method of multiplier ideal sheaves

  6:00 - 8:00  

 Wine and Cheese

 

 

 

 

 

 

 

Thursday 3/18

 

 

  8:30 - 9:00   Registration

 

 

  9:00 - 9:50

J. P. Demailly

Towards transcendental holomorphic Morse inequalities

10:00 - 10:50

D. Phong

On Stability and asymptotics for energy functionals

10:50                     

Coffee

 

11:20 - 11:50

R. Berman

Bergman kernels and holomorphic Morse inequalities on manifolds with boundary

12:00 - 12.30

R. Paoletti

Szego kernels and moment maps

Afternoon session

 

 

  2:00 - 2:50

D. Auroux

Lefschetz fibrations, vanishing cycles and mirror symmetry.

  3:00 - 3:30

S. Ivashkovich

Schwarz-type lemmas for solutions of dbar inequalities and Kobayashi hyperbolicity of almost complex manifolds.

  3:30                      

Coffee

 

  4:00 - 4:30

M. Ramachandran

Questions on Asymptotic volume of line bundles and negatively curved Kahler manifolds

  4:40 - 5:10

M. Paun

Numerical properties of currents associated to
transcendental entire curves

 

 

 

Friday 3/19

 

 

  8:30 - 9:00  

Registration

 

  9:00 - 9:50

E. Bedford

Dynamics of polynomial diffeomorphisms of C^2

10:00 - 10:50

N. Sibony

Currents of bidegree(p,p) and complex dynamics

10:50                      

Coffee

 

11:20 - 11:50

A. Nicoara

Embeddability of CR Manifolds and the Closed Range Property of the Tangential Cauchy-Riemann Operator.

12:00 - 12:30

C. Epstein

Subelliptic boundary value problems for the Spin-c Dirac operator

Afternoon session

   

  2:00 - 2:50

M. Passare

Amoebas in complex geometry

  3:00 - 3:50

G. Mikhalkin

Tropical vs. complex and real geometry

  3:50                         

Coffee

 

  4:20 - 4:50

H. Rullgard

Asymptotics of solutions to ordinary differential equations

  5:00 - 5:30

T. Tate

Harmonic analysis on toric varieties.

  7:00 - 10:00      

B a n q u e t

 

 

 

 

Saturday 3/20

 

 

  9:00 - 9:50

R. Lazarsfeld

Asymptotic invariants of line bundles

10:00 - 10:50

L. Ein

Contact loci in arc spaces

10:50                      

Coffee

 

11:20 - 11:50

N. Budur

Multiplier ideals and D-modules

12:00 - 12:30

S. Boucksom

Pseudo-effectivity and moving curves

Afternoon session

 

 

  2:00 - 2:50

P. Bleher

Scaling and universality of zeros in non-Gaussian ensembles of random polynomials

  3:00 - 3:50

M. Douglas

Counting supersymmetric and nonsupersymmetric flux vacua.

  3:50                    

Coffee

 

  4:20 - 4:50

M. Sodin

Random complex zeroes (joint work with Boris Tsirelson)

  5:00 - 5:30

A. Brudnyi

Center Problem for Ordinary Differential Equations

 

 

 

Sunday 3/21

 

 

  9:00 - 9:50

G. Tian

Uniquenes theorems in K\"ahler Geometry

10:00 - 10:50

J. Hwang

Holomorphic maps onto manifolds of non-negative Kodaira dimensions

11:00 - 11:30

T. Napier

Some q-convexity properties of covering spaces

11:40 - 12:30

Y. T. Siu

Skoda's ideal generation with derivative estimatesand Levi-flat hypersurfaces in the complex projective plane