哈尔滨工业大学第十三届卓越青年学者神舟论坛 数学研究院分论坛

发布时间:2025-12-18浏览次数:10



一、论坛日期:20251220(星期

二、论坛时间:14:00-17:00

三、论坛地点:格物楼315

    ZOOM会议号: 934 7339 4458       密码:1220

四、论坛安排:

Ø 14:00-14:10 开幕式致辞

Ø 14:10-14:50 学术报告(线上)

   目:Sharp regularity results for hypoelliptic kinetic equations in non-divergence form

报告人:朱聿哲

Ø 14:50-15:0交流讨论

Ø 15:00-15:40 学术报告(线下)

Ø 15:40-15:50 交流讨论

Ø 15:50-16:1休息

Ø 16:10-16:50 学术报告 (线下)

            题   目:Fusion systems with 2-generated essential subgroups

 报告人:张宝羽

Ø 16:50-17:00 交流讨论

 

 

报告题目与摘要

 

Sharp regularity results for hypoelliptic kinetic equations in non-divergence form

朱聿哲

摘要We consider the evolution of dilute particle systems in plasmas and gases within the kinetic Fokker-Planck-Landau model. The interplay between transport and degenerate diffusion in the model yields hypoelliptic smoothing effects. Beyond interior estimates, boundary regularity is limited by singular boundary sets inherent to kinetic transport flows. We investigate recent developments toward sharp results for hypoelliptic kinetic equations in non-divergence form, with an emphasis on analytical approaches that do not rely on energy methods.

 

 

Fusion systems with 2-generated essential subgroups

张宝羽

摘要Local finite group theory has been an important topic, particularly via the Classification of Finite Simple Groups. Fusion systems are categories defined on p-groups, which have helped simplify and extend much of the theory in the last 20 years and are starting to link group theory, representation theory, and algebraic topology. By Alperin-Goldschmidt's fusion theorem, a saturated fusion system can be completely determined by its essential subgroups. In this talk, I will demonstrate the strong influence of two-generator essential subgroups on the structure of fusion systems.


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