VIASM ANNUAL MEETING Hanoi, August 25-26, 2012 Time: August 25-26, 2012 Venue: The lecture hall C2, Vietnam Institute for Advanced Study in Mathematics (VIASM) The 7th floor, Ta Quang Buu Library, Hanoi University of Science & Technology Organizers: Ngo Bao Chau (Univ. of Chicago -- VIASM) Phung Ho Hai (Institute of Mathematics, Hanoi) "VIASM Annual meeting" is an official activity of Vietnam Institute for Advance Study in Mathematics. VIASM will invite highly reputed mathematicians to deliver lecturers on central topics of contemporary mathematics. The lecturers will provide the audience with problems of high interest in their research fields, main ideas and main results. The lectures will be published in a special issue of Acta Mathematica Vietnamica. The following scientists have agreed to deliver their lectures at VIASM Annual Meeting 2012 Đinh Tiến Cường, Univ. Paris 6, France Jean-Pierre Demailly, Univ. Grenoble, France Hélène Esnault, Univ. Duisburg-Essen, Germany Benedict Gross, Univ. Harvard, USA Lionel Schwartz, Univ. Paris 13, France Registration: The VIASM cordially invites all interested colleagues to participate in VIASM Annual Meeting 2012. The will be no conference fees. For the registration please send an email to VIASM at the following address: To: [email protected] Subject: Viasm AM – 2012 Deadlines: July 31, 2012 Page 1 Financial supports: The VIASM will provide full accommodation and partial travel expenses for a number of young scientists and graduate students not coming from Hanoi to participate in the Annual Meeting. To apply for the financial support please fill in and submit an application form together with a scientific CV to the VIASM at the email address mentioned above. Lectures: Jean-Pierre Demailly: Hyperbolic algebraic varieties and holomorphic differential equations Every complex space carries an invariant metric known as the Kobayashi metric, computed from extremal holomorphic curves. On projective varieties, Kobayashi hyperbolicity is equivalent to the non existence of entire holomorphic curves. In general it is expected that the existence of infinitely many rational points is related to the locus where entire holomorphic curves accumulate. An important conjecture due to GreenGriffiths and Lang asserts that for every projective algebraic variety of general type, there is a proper algebraic subvariety containing all entire curves, that would contain also all rational points but finitely many. The description of this locus is strongly related to certain global algebraic differential equations, given e.g. by holomorphic foliations. The geometry of jet bundles and their cohomology plays here an important role. We will discuss recent progress on these questions. Hélène Esnault: Finiteness and companions, after P. Deligne and V. Drinfeld Goal will be to present Deligne's existence of a number field receiving the coefficients of an $\ell$-adic lisse sheaf of weight 0 on a normal scheme $X$ over a finite field, Drinfeld's existence of $\ell'$-adic companions on $X$ lisse (Deligne's conjecture1.2.10 in Weil II), and Deligne's finiteness result for the number of $\ell$-adic lisse sheaves to bounded rank and ramification. Benedict Gross: On the arithmetic of hyperelliptic curves In this talk, I will show how one can use invariant theory to study the arithmetic of hyperelliptic curves of a fixed genus over Q with a rational Weierstrass point. I will obtain an upper bound on the average rank of their Jacobians and will use this bound to restrict the number of rational points on the curve (when the genus is at least 2). This is a report on joint work with Manjul Bhargava. Dinh Tien Cuong, Automorphism groups of compact Kaehler manifolds Automorphisms of compact Kaehler manifolds are currently studied mostly from two points of view: Complex Dynamics and Algebraic Geometry. In this talk, we will survey some classical results, e.g. Theorems by Lieberman, Gromov, Yomdin, and some recent progresses, e.g. a version of Tit's alternative obtained by D.-Q. Zhang. Page The talk will describe recent results and conjectures about the following question: when an unstable module can be the mod p cohomology of a space. One will focus on qualitative results (but not only) rather than on specific cases. 2 Lionel Schwartz: Realizing unstable modules as the cohomology of spaces, a survey VIASM ANNUAL MEETING 2012 HANOI, August 25-26, 2012 REGISTRATION FORM - Name: - Academic degree(s): - Affiliation: - Email: - Apply for financial support? Yes No If Yes please fill the form below and submit the recommendation letter by an established mathematician along with the form. VIASM ANNUAL MEETING 2012 HANOI, August 25-26, 2012 APPLYING FORM FOR FINACIAL SUPPORT Page 3 - Name: - Current position: (Ph.D studdent, Postdoctoral fellow,...) - Affiliation: - Email: - Research fields, research interests: - Attached a recommendation letter by:
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