The notion of cotorsion pairs goes back to the 1970s when it was introduced by Salce in the case of abelian groups. Cotorsion pairs have been used to study covers and envelopes, particularly in the proof of the flat cover conjecture. They have also been used in homotopy theory and in tilting theory. In this talk, we present some homological properties of cotorsion pairs with a view to applications to the finitistic dimension conjecture, the Wakamatsu tilting conjecture, and the Auslander and Reiten conjecture. This talk is based on several joint works with L.W. Christensen, N.Q. Ding, S. Estrada, H.H. Li, Y.X. Li, P. Thompson and J. Wang.
胡江胜，江苏理工学院教授，江苏省“333工程”第三层次培养对象，江苏高校“青蓝工程”优秀青年骨干教师。主要从事同调代数与代数表示理论等领域的研究，研究领域涉及逼近理论、高维同调理论、Gorenstein同调理论与复形的相对上同调理论等。主持国家自然科学基金面上项目、数学天元基金项目、青年项目和江苏省自然科学基金面上项目等科研项目多项。在Israel J. Math.，J. Algebra，J. Pure Appl. Algebra，Sci. China Math.等国内外著名数学期刊上发表学术论文30余篇。
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