Abstract: In this talk I will define stable varieties of non-negative Kodaira dimension and then describe results on existence of moduli spaces and their compactifications for such varieties in any dimension.

Biography

Prof. Birkar is an Iranian Kurdish mathematician and a professor at Tsinghua University and University of Cambridge. Birkar is an important contributor to modern birational geometry. In 2010 he received the Leverhulme Prize in mathematics and statistics for his contributions to algebraic geometry, and in 2016, shared the AMS Moore Prize for the article "Existence of minimal models for varieties of log general type". He was awarded the Fields Medal in 2018, "for his proof of boundedness of Fano varieties and contributions to the minimal model program".