Conference on Derived Algebraic Geometry

该项目支持美国早期职业数学家参加将于2017年4月3日至7日在德国雷根斯堡大学举行的推导代数几何和同伦理论的可逆性和对偶性会议。派生代数几何是一个日益活跃的数学领域，它结合了许多已建立的领域（包括代数几何、拓扑和数学物理）的方法，会议地点是该主题工作的主要中心。经费将用于支持初级研究人员的旅费和当地费用；因此，直接影响将是10名或更多的早期职业美国数学家的培训和职业发展，他们将有机会参加该主题的研讨会，交流他们的研究成果，并进一步发展与欧洲新兴研究小组的合作。来自美国以外的会议发言人和参与者将由德国国家研究基金会（DFG）通过SFB-1085和SPP-1786赠款提供支持。在过去的十五年中，我们看到了推导代数几何领域的迅速发展。因为它从代数拓扑、代数几何、代数k理论甚至数学物理中汲取线索和灵感，这个领域吸引了大量的早期职业研究人员。本次会议将汇集来自代数拓扑、同伦理论、派生代数几何及相关领域的国际专家，会议的重点将是该领域的当前工作和新兴思想，以对偶的存在和应用为主题。在代数拓扑和代数几何中，对偶理论的存在揭示了所研究对象的深层结构。基本的例子包括流形的庞加莱对偶性或变体的Serre对偶性，但这些都是更一般的现象的表达，最好在推导环境中研究。近年来，推导代数几何在理论和计算两方面都取得了重大进展。这次会议的目的是巩固这些进展并促进新的研究方向。会议网站:http://www-cgi.uni-regensburg.de/Fakultaeten/MAT/sfb-higher-invariants/index.php/SpringSchool2017

This project supports the participation of early-career US mathematicians in the Conference on Invertibility and Duality in Derived Algebraic Geometry and Homotopy Theory, which will be held April 3-7, 2017 at the University of Regensburg, Germany. Derived algebraic geometry is an increasingly active mathematical area that combines approaches from a number of established fields (including algebraic geometry, topology, and mathematical physics), and the conference location is a major center for work in this subject. Funds will support the travel and local expenses of junior researchers; accordingly, the direct impact will be the training and career development of 10 or more early-career US mathematicians, who will gain the opportunity to participate in a workshop in this subject, communicate their research results, and further develop collaborations with emerging research groups in Europe. Conference speakers and participants from outside of the United States will be supported by the German national research foundation (DFG) through the grants SFB-1085 and SPP-1786.In the past fifteen years, we have seen the rapid development of the field of derived algebraic geometry. Because it draws threads and inspiration from algebraic topology, algebraic geometry, algebraic K-theory, and even mathematical physics, this field has attracted a large number of early-career researchers. This conference will bring together international experts from algebraic topology, homotopy theory, derived algebraic geometry, and related areas, and the focus of the conference will be current work and emerging ideas in the field, using the existence and applications of dualities as a theme. Throughout algebraic topology and algebraic geometry, the existence of a theory of duality reveals deep structure about the objects under study. Basic examples include Poincare duality for manifolds or Serre duality for varieties, but these are expressions of much more general phenomena best studied in the derived setting. There has been significant recent progress in derived algebraic geometry, in both theory and computations. It is the aim of this conference both to consolidate these advances and to promote new research directions.Conference webpage:http://www-cgi.uni-regensburg.de/Fakultaeten/MAT/sfb-higher-invariants/index.php/SpringSchool2017