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Acta Mathematica Vietnamica

Issue 1, March 2014, Volume 39

Lectures at the Annual Meeting 2013 of the Vietnam Institute for Advanced Study in Mathematics

Preface

 Ngô Bao Châu
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1

Congruent numbers

 John Coates
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3-10

Recent progress on the Gross–Prasad conjecture

 Wee Teck Gan
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11-33

Parabolic flows in complex geometry

 Duong H. Phong
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35-54

Perfectoid spaces and the weight-monodromy conjecture, after Peter Scholze

 Takeshi Saito
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55-68

The Tate conjecture for K3 surfaces—a survey of some recent progress

 Vasudevan Srinivas
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69-85

Representation of finite groups: conjectures, reductions, and applications

 Pham Huu Tiep
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87-109
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