**Subham Sarkar**

TIFR, Mumbai

January 4, 2018

**Extension of Mixed Hodge structures and Special values of Hypergeometric functions**:
In this talk we discuss certain extensions of mixed Hodge structures which are coming from the mixed Hodge structure on certain graded quotients of the group ring of the Fundamental group of a smooth projective pointed curve. Such extensions are computed using iterated integrals. In a very special case those iterated integral evaluated as a special values of hypergeometric functions.