Center of Mathematics at Notre Dame

Organizers: Nero Budur (University of Notre Dame), François Loeser (University Pierre and Marie Curie), Mircea Mustaţă (University of Michigan).

• May 20-24, 2013: Undergraduate Summer School
• May 27-31, 2013: Graduate and Postdoc Summer School
• June 3 - 7, 2013 : Conference
• Distinguished Lecture Series: Jan Denef (Leuven).

Info (to be provided):

• Location: University of Notre Dame.
• Registration.
• Funding.
• Lodging.
• Contact.

Undergraduate Summer School Mini-Courses (May 20-24, 2013):

• p-adic numbers and p-adic integration, Margaret M. Robinson (Mt. Holyoke College). This course is an introduction to Igusa local zeta functions.

• Plane curve singularities, Mathias Schulze (Oklahoma State University). This course is a gentle introduction to singularity invariants with hands-on computations using the program Singular.

• Statistical learning theory and singularities, Shaowei Lin (University of California, Berkeley). This is a basic course is about the use of singularities to statistics.

 

Graduate and Postdoc Summer School Mini-Courses (May 27-31, 2013):

• D-modules and vanishing cycles, Claude Sabbah (Ecole Polytechnique). This is course will focus on topics describing the relations between the differential equations and singularities.

• Donaldson-Thomas invariants and the motivic Milnor fiber, Balázs Szendrői (Oxford). The subject of mirror symmetry and DT invariants has been linked with motivic Milnor fibers by work of K. Behrend. The mini-course will disseminate the ideas sourrounding this topic which are not so widely-known among singularity theorists or non-DT specialists.

• Monodromy Conjecture, François Loeser (UPMC). History, development, and the state-of-the art of this conjecture will be presented.

• Motivic integration, Tommaso de Fernex (Utah). This is an introduction to motivic inte- gration, arc spaces and jet schemes. Various applications will be presented on topics such as singularities of pairs and stringy Hodge numbers.

• Nash Conjecture, Javier Fernández de Bobadilla (Madrid). Besides an introduction to the topic, this course will survey the various approaches and the latest developments.

Conference Speakers (June 3-7, 2013):

P. Aluffi (Talahasse)

K. Behrend (UBC)

B. Bhatt (Michigan)

M. Blickle (Mainz)

A. Chambert-Loir (Rennes)

R. Cluckers (Lille)

T. de Fernex (Utah)

A. Dimca (Nice)

R. Do Campo (Utah)

L. Ein (UIC)

H. Esnault (Essen)

M. González Villa (Heidelberg)

J. Gordon (UBC)

E. Gorsky (Stony Brook)

L. Halle (Stockholm)

D. Kazdhan (Hebrew Univ) *

K. Kedlaya (UCSD) *

A. Libgober (UIC)

F. Loeser (UPMC)

L. Maxim (Wisconsin)

J. Nicaise (Leuven)

A. Reguera (Valladolid)

C. Schnell (Stony Brook)

J. Sebag (Rennes)

K. Tucker (Princeton)

W. Veys (Leuven)

V. Vologodsky (Oregon)

U. Walther (Purdue)

( * = to be confirmed later )

Distinguished Lecture Series: Jan Denef (Leuven).

There will be two lectures aimed at graduate students and general public during the Graduate School week, plus one lecture during the Conference week.

© 2011