Department Colloquium Speaker: Sarbeswar Pal, IISER Trivandrum Friday 15 July 4 pm Venue Ramanujan Hall Title: On a conjecture of Drinfeld. Abstract: Let C be a smooth irreducible projective curve of genus g ≥ 4. Let MC(r, δ) be moduli space of stable vector bundles on C of rank r and fixed determinant δ of degree d. Then the locus of wobbly bundles is known to be closed in MC(r, δ). Drinfeld has conjectured that the wobbly locus is pure of co-dimension one, i.e. it is a divisor in MC(r, δ). In this talk, we will give proof of the conjecture when (r, d) = 1