報(bào)告題目：Geometric characterizations of freely quasiconformal mappings in real Banach spaces
摘要：This talk focuses on four classical topics in geometric function theory in one complex variable. These topics include the Biberbach conjecture (i.e., de Branges Theorem), the generalized Zalcman conjecture, the Fekete and Szego inequality, and the successive coefficients difference bounds. The paper discusses sharp results obtained for biholomorphic starlike mappings in several complex variables under specific restriction conditions. It is demonstrated that relatively weaker versions of the Biberbach conjecture, the generalized Zalcman conjecture, the Fekete and Szego inequality, and the successive homogeneous expansions difference bounds (or the Goluzin problem) for biholomorphic starlike mappings in several complex variables are proven, with most of them being reduced to the related results in one complex variable.
報(bào)告時(shí)間：2025年３月１4日１６:00—１７:00
報(bào)告地點(diǎn)：北主樓1204
報(bào)告人簡(jiǎn)介：劉小松，嶺南師范學(xué)院三級(jí)教授，閩南師范大學(xué)兼職碩導(dǎo)，1991年本科畢業(yè)于吉首大學(xué)，1994年碩士畢業(yè)于廣西大學(xué)，2005年獲中國(guó)科學(xué)技術(shù)大學(xué)博士學(xué)位。曾任嶺南師范學(xué)院數(shù)學(xué)與統(tǒng)計(jì)學(xué)院的副院長(zhǎng)。主要研究興趣是多復(fù)變數(shù)Bieberbach猜想、多復(fù)變數(shù)星形映射偏差定理、多復(fù)變數(shù)Bohr不等式、多復(fù)變數(shù)推廣的Zalcman猜想及多復(fù)變數(shù)推廣的Fekete-Szego不等式等。在《Sci.China.Math.》《J.Math.Anal.Appl.》等一級(jí)刊物以上期刊發(fā)表第一作者論文約40篇，其中，SCI收錄約30篇?，F(xiàn)主持完成國(guó)家自科基金面上項(xiàng)目1項(xiàng)，參與國(guó)家自科基金面上項(xiàng)目3項(xiàng)，地區(qū)項(xiàng)目1項(xiàng)，主持完成省自科基金2項(xiàng)。獲嶺南師范學(xué)院教學(xué)名師等榮譽(yù)稱(chēng)號(hào)，現(xiàn)為廣東省高校數(shù)學(xué)教學(xué)指導(dǎo)委員會(huì)委員。
歡迎感興趣的老師和學(xué)生參加！
五邑大學(xué)科技處
數(shù)學(xué)與計(jì)算科學(xué)學(xué)院
202５年３月１２日
