# درسهای کوتاه

Instructor:

Instructor:

**Short course title:**Toric geometry and moduli spaces of sheaves

Time:

Wed. Dec. 24, 2014 10:30-12:30 and 14:00-16:00

Location: Room 221, Dept. Math. Sci., Sharif University of Technology

Instructor:

**Short course title:**Topics in the study of the Laplacian eigenvalues

Time:

Sat. Dec. 27, 2014 15:30-17:00

Sun. Dec. 28, 2014 15:30-17:00

Location: Room 317, Dept. Math. Sci., Sharif University of Technology

Instructor:

**Short course title:**An Introduction to Prime Number Theory

Time:

Sat. Jan. 3, 2015 10:00-12:00

Sat. Jan. 3, 2015 14:00-16:00

Location: Lecture Hall 1, Niavaran Builiding, IPM

Instructor:

**Short course title:**Algebraic equations and convex bodies

Time:

Sat. Dec. 27, 2014 10:30-12:00 and 13:30-15:00

Sun. Dec. 28, 2014 10:30-12:00 and 13:30-15:00

Location: Room 317, Dept. Math. Sci., Sharif University of Technology

Instructor:

**Short course title:**Values of Quadratic Forms and Oppenheim Conjecture

Ragunathan reformulated a version of this conjecture in 70s in the language of the action of Lie groups, where the condition $n\geq 5$ is replaced by $n\geq 3$. More precisely, Ragunathan proved the equivalence of Oppenheim conjecture with the statement that every orbit of the action of $S=SO(2,1)$ on $SL_3(\mathbb{R})/SL_3(\mathbb{Z})$ is compact. This formulation of the Oppenheim conjecture was subsequently proved by Margulis in 1986.

In this short course, we will first show the equivalence of Oppenheim conjecture with Ragunathan's formulation, and will present a simplified version of Margulis' proof. Finally, we will mention some of the generalizations of this theorem without going into details.

Time:

Tue. Jan. 6, 2015 13:30-15:00 and 15:30-17:00

Wed. Jan. 7, 2015 13:30-15:00

Location: Lecture Hall 1, Niavaran Building, IPM

**Short course title:**L-functions and principle of functoriality

Time:

Sun. Jan. 4, 2015 14:00-15:30

Mon. Jan. 5, 2015 14:00-17:00

Location: Lecture Hall 1, Niavaran Building, IPM

Instructor:

**Short course title:**An introduction to estimation and inference in graphical models and networks

Time:

Sat. Dec. 20, 2014 15:00-17:00

Mon. Dec. 22, 2014 15:00-17:00

Wed. Dec. 24, 2014 8:00-12:00

Location: Room 317, Dept. Math. Sci., Sharif University of Technology

Instructor:

**Short course title:**Disintegration of measures and fine ergodic property of smooth dynamics

1. Preliminaries on measurable partitions, conditional expectation, disintegration of measures along leaves of a foliation

2. Absolute continuity, atomic dichotomy in disintegration of partially hyperbolic dynamics

3. Hierarchy in ergodic properties: Katok's example on non equivalence of Kolmogrov and Bernoulli systems and new results on equivalence of Kolmogrov and Bernoulli in one dimensional central case in partially hyperbolic systems.

The third item may or may not be reached in the minicourses. But in the Frontier talk we try to cover the third part.

Time:

Sun. Dec. 14, 2014 14:00-15:30

Mon. Dec. 15, 2014 9:00-11:30

Tue. Dec. 16, 2014 9:00-11:30

Location: Lecture Hall 1, Niavaran Building, IPM

Organizer:

**Short course title:**a Conference on Algorithmic Game Theory

Time:

Sun. Dec. 28, 2014 9:00-14:00

Location: Khwarizmi Hall, Computer Engineering Department, Sharif University of Technology

Short course title:Some applications of forcing in the model theory of arithmetic and set theoryWed. Jan. 7, 2015 15:00-17:00

Thu. Jan. 8, 2015 10:00-12:00

Location: Lecture Hall 2, Niavaran Building, IPM