講座名稱：Approximation Theory in Algebraic Contexts

講座時間：2019-07-09 16:10:00

講座地點(diǎn)：南校區(qū)信遠(yuǎn)Ⅱ-206

講座人：Sergio Estrada

講座人介紹：

Sergio Estrada，2003年畢業(yè)于西班牙Almería大學(xué)，獲博士學(xué)位，現(xiàn)為穆爾西亞大學(xué)副教授。曾應(yīng)邀到麻省理工學(xué)院和肯塔基大學(xué)合作研究。主要研究方向?yàn)橥{(diào)代數(shù)、表示論和模型范疇，現(xiàn)為“Khayyam Journal of Mathematics”和“Research & Reviews: Discrete Mathematical Structures”雜志編委。已在Advance in. Math，J. Lond. Math. Soc.，Journal of Algebra，J. Pure App. Algebra，Comm. in Algebra等國際期刊上發(fā)表SCI論文50多篇。

講座內(nèi)容：

The theory of covers and envelopes of modules has its origin at the beginning of the 80s in the works of Enochs and Auslander and Smal?. The theory is based on the intuitive idea of nicely approaching arbitrary objects that are difficult to study with other objects belonging to classes for which more information is available. In the talk we will give a brief historical review of the theory of covers and envelopes of modules leading to what has been known in the literature as the Flat Cover Conjecture. We will introduce the most significant tools that have allowed to give a positive solution to this conjecture (whose solution appeared published in 2001) as well as the impact of this result in other contexts which still today constitutes an active line of research in homological algebra.

主辦單位：數(shù)學(xué)與統(tǒng)計學(xué)院