**Kalyan Banerjee**

TIFR, Mumbai

November 9, 2017

**Involutions on algebraic surfaces and algebraic cycles**:
Consider a smooth, projective, algebraic surface S defined over
the field of complex numbers. Suppose that the surface is equipped with an involution (an automorphism of order 2). Then the generalised Bloch
conjecture predicts that, if the involution acts identically at the level of cohomology then it must act identically on the Chow group of zero cycles of the surface.
In this talk we will survey some recent progress in this direction and
discuss the proof of the conjecture for some special class of surfaces of general type with geometric genus zero.