Spearker：Laurent Moonens，Université Paris-Sud

Venue：Room 102，Math Building, Minhang Campus

Host: Prof. Thierry De Pauw

- first (colloquium) lecture : Wednesday January 2nd 10:00 - 11:00

- second lecture : Thursday January 3rd 10:00 - 11:00

- third lecture : Wednesday January 9th 10:00 - 11:00

- fourth lecture January 10th 10:00 - 11:00

(1) Colloquium : « In this first talk we shall describe some general principles in the theory of Lebesgue differentiation, see how the validity in general frameworks of a Lebesgue-type differentiation theorem relates to property of some associated operator, before to focus our attention on the delicate issue of differentiating along rectangles ».

(2) Lectures : « After recalling some classical material from Harmonic Analysis and basic Geometric Measure Theory, we shall start by some general necessary and sufficient conditions on a sequence of averaging operators, in order for them to converge almost everywhere in a given function space. This will allow us to discuss interesting positive and negative results for ergodic, Lebesgue and convolution averaging processes.