講座名稱：The Invariant Geometric Flows in Affiffiffine-related Geometries

講座人：屈長征 教授

講座時間：5月14日9:00

講座地點：騰訊會議直播（ID:167 587 391）

講座人介紹：

屈長征教授，浙江省特級專家，國家杰出青年基金獲得者。1993年在蘭州大學(xué)數(shù)學(xué)系獲得博士學(xué)位，先后在西北大學(xué)和香港中文大學(xué)做博士后研究，多次赴美國、加拿大、日本、德國、西班牙、新加坡和香港等十幾個國家和地區(qū)訪問和交流。主要從事不變幾何流及其與可積系統(tǒng)的關(guān)系、非線性偏微分方程的對稱、不變量、幾何性質(zhì)、解的奇性及穩(wěn)定性的研究，成果發(fā)表在Comm.Math.Phys.，Adv.Math.，ARMA，Math.Ann.,J.Funct.Anal.,J.Math.Pure Appl.和Nonlinearity等國際著名雜志上，多次被邀請在一些重要的國內(nèi)外學(xué)術(shù)會議上做報告?，F(xiàn)任《Stud. Appl.Math.》，《Comm.Pure Appl.Anal.》和《數(shù)學(xué)進(jìn)展》編委，是《純粹與應(yīng)用數(shù)學(xué)》雜志副主編。曾得到國家杰出青年基金、國家自然科學(xué)基金重點項目、面上項目和教育部優(yōu)秀青年教師等基金的資助。研究成果曾獲得陜西省科技進(jìn)步一等獎、二等獎和國家教委科技進(jìn)步獎等。

講座內(nèi)容：

Invariant geometric flows in certain geometries have been studied extensively from dif ferent points of view. In this talk, we are mainly concerned with invariant geometric flows in centro-affine, centro-equiaffine and affine geometries. First, we show that the specific invariant geometric flows in centro-affine, centro-equiaffine and centro-affine geometries are related respectively to the well-known integrable systems. Those integrable geometric flows corresponding to some solutions of the systems will be studied. Second, the geometric for mulations to integrability features of the resulting systems are addressed. Finally, we study the heat flows for curves in those geometries. Their different features of the heat flows in those geometries will be discussed.

主辦單位：數(shù)學(xué)與統(tǒng)計學(xué)院