真人百家le威尼斯人

导航菜单

真人百家le威尼斯人:Flexible varieties, images of affine spaces, and ellipticity after Mikhail Gromov

来源: 01-19

时间:Fri., 15:30-16:30, Jan.19, 2024

地点:Zoom ID: 455 260 1552; PW: YMSC

组织者:Caucher Birkar,陈炳仪

主讲人:Ivan Arzhantsev HSE University, Moscow

Abstract

We define flexible affine algebraic varieties, describe their basic properties, and show that many varieties satisfy the flexibility condition. The group of special automorphisms acts in the regular locus of a flexible variety infinitely transitively, that is, any finite collection of smooth points can be sent to any finite collection of smooth points of the same cardinality. Using flexibility, one may show that every non-degenerate toric variety, every homogeneous space of a semisimple group, and every variety covered by affine spaces admits a surjective morphism from an affine space. Applying the ellipticity property introduced by Mikhail Gromov in 1989, we prove that a complete algebraic variety X is an image of an affine space if and only if X is unirational. This result is obtained in the joint work with Shulim Kaliman and Mikhail Zaidenberg. The research is supported by the RSF-DST grant 22-41-02019.


About the speaker

Ivan Arzhantsev

Ivan Arzhantsev, Dean of HSE University’s Faculty of Computer Science, Member of the HSE Academic Council.

Personal Homepage:

https://www.hse.ru/en/staff/arjantsev


返回顶部
相关文章
  • 真人百家le威尼斯人:Instruction for choosing courses in the direction Algebra and Number

    Please download the file for more informatio

  • 真人百家le威尼斯人:Slices in the loop spaces of symmetric varieties

    Geometric Representation Theory SeminarOrganizers:Lin Chen, Will Donovan, Penghui Li, Peng Shan, Changjian Su, Wenbin YanSpeaker:Lingfei Yi 易灵飞 (上海数学中心)Time:Wed., 3:30-4:30 pm, Sept. 25, 2024Venue:B627, Shuangqing Complex Building A美金换人民币双清综合楼A座 B627Title: Slices in the loop spaces of symmetric varietiesAbstract:Let X be a symmetric variety. J. Mars and T. Springer constru...

真人百家le威尼斯人-搜狗买球指南