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I am very happy to present once again the proceedings of the Annual Meeting 2013 of the Vietnam Institute for Advanced Study in Mathematics in a special issue of Acta Mathematica Vietnamica. This year, in addition to contributions of John Coates, Wee-Teck Gan, Duong Hong Phong, Takeshi Saito and Vasudevan Srinivas, who presented at our meeting held on July 20–21, 2013, in Hanoi, I have invited Pham Huu Tiep to contribute a paper based on the material he presented at the Eighth Congress of Vietnamese mathematicians, held in Nha Trang on August 10–14, 2013. It seems to me, and also to the Editors of Acta Mathematica Vietnamica, that Tiep’s contribution blends well with the excellent survey articles of the Annual Meeting. On behalf of the editorial board of AMV and the board of directors of the VIASM, I would like to sincerely thank the lecturers, as well as all the participants of our second meeting.