时间: 2025年10月20日（周一）16:00-17:00
地点: E10-315
主讲人: Laurent Lafforgue, Lagrange Center and Huawei Research Center
讲座主题: Galois connections
讲座摘要: The notion of Galois connection can be formulated in so general and so simple terms that it would be good for all mathematicians to know it.
This general notion was extensively used in particular by Birkoff but remains widely unknown or forgotten, even though it makes the teaching of Galois theory more natural and can still be used to get new results.
The speaker will illustrate this last point by showing how simple Galois connections lead to the definitions of the notion of Grothendieck topology in a category and to the notion of topos as well as to dualities expressing the notion of topology in alternative terms and allowing to prove new general properties.
