报告题目：Title: Constructing crystalline representations of the etale fundamental group of a p-adic curve  via stable Higgs bundles.

报告人：左康，中国科学技术大学和德国美因茨大学

报告时间：星期四 3月9日 下午3:00-4:30，

报告地点：1518

摘要：
In  a joint program with G-T. Lan and M. Sheng we have established a p-adic  Hitchin- Simpson's correspondence : Namely, given a smooth proper scheme X over the Witt ring W of a finite field F_q of characteristic p, then the category of GL_r-crystalline representations of the etale fundamental group of X over the fraction field K of W is equivalent to  the category of  periodic graded Higgs bundles on X. In a recent joint  paper with R-R.Sun and J-B.Yang we have worked out a version of the p-adic  Hitchin- Simpson's correspondence  between the category of PGL_r-crystalline representations of the  etale fundamental group of X/K and the category of periodic graded Higgs bundles after twisting line bundles.  As an  application one shows that the etale fundamental group of any smooth  p-adic curve C of genus >1 carries irreducible PGL_r-crystalline representations for some  1