U.S. Participation in Algebraic Cycles and Moduli Conference

该奖项为参加将于2016年6月2日至8日在加拿大蒙特利尔大学数学研究中心举办的“代数周期和模数”研讨会的美国参与者提供资金。这笔资金将支持3名主要演讲者、4名正式教职员工和9至14名初级参与者。讲习班的活动将包括由主要国际专家每天进行三至四次讲座，其间穿插着计划外的时间，以便进行讨论和合作。这次会议的主题是当前代数几何研究的前沿。它涉及从几何、分析到拓扑学的广泛的复杂技巧，并在物理中有重要的应用。该研讨会的具体目的是综述代数循环和模领域的最新发展，集中在以下主题：(1)Mumford-Tate群和域，(2)Torelli型定理和Hyperkähler流形，(3)曲线的模空间上的共形块丛，(4)正规函数，(5)Beilinson调节器在Mahler测度和Feynman积分中的应用。讲习班将汇集这些领域的一些主要专家以及一些年轻的研究人员，他们将进一步推动这些方向的发展。有关会议的更多细节可在其网站上找到：http://www.crm.umontreal.ca/2016/Cycles16/index_e.php。

This award provides funding for US participants at the workshop "Algebraic Cycles and Moduli" to take place June 2-8, 2016, at the Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Canada. The funding will support three principal speakers, 4 regular faculty and between 9 to 14 junior participants. The workshop activities will include three to four talks each day by leading international experts, interspersed with unscheduled time to allow for discussion and collaboration. The topic of the conference is at the forefront of current research in algebraic geometry. It involves a wide range of complex techniques from geometry, analysis, and topology and has important applications in physics.The specific purpose of the workshop is to survey the recent developments in the field of algebraic cycles and moduli, with a focus on the following topics: (1) Mumford-Tate groups and domains, (2) Torelli-type theorems and hyperkähler manifolds, (3) Conformal block bundles over moduli spaces of curves, (4) Normal functions, (5) Applications of the Beilinson regulator to Mahler measure and Feynman integrals. The workshop will bring together some of the leading experts in these fields, as well as a number of young researchers, who will further propel developments in these directions. More details on the conference can be found at its website: http://www.crm.umontreal.ca/2016/Cycles16/index_e.php