In these talks, I will review the recent progress on Carleson pointwise convergence problem of solutions to the Schrodinger equations. It asks, in what Sobolev space the initial data is, the corresponding solution converges to the initial data almost everywhere as time goes to zero. The conjecture has been settled down except for the endpoint case in higher dimensions. We will mainly focus on the three dimensional proof given by X. Du, L. Guth and X. Li. The proof uses the most recent idea and techniques from the Fourier restriction theory in harmonic analysis, for instance the induction on scale, the polynomial partitions and decoupling.

1、6月25日 上午9：30----11：30

2、6月26日 下午2：30----4：30

3、6月28日 下午2：30----5：00