PURE MATHEMATICS HONOURS TALKS Thursday 16 October from 3pm, and Friday 17 from 2pm, in Carslaw Tutorial Ro om 830. All academic staff, current and prospective honours stu- dents are invited to attend. Thursday 15:00-15:40 Karrnan Pathmanandavel New methods for proving Holder continuity of solutions to elliptic equations in divergence form 15:45-16:25 Robert Tang Bass-Serre Theory 16:30-17:10 Andrew Crisp The structure of G2 and its graph automorphism 17:15-17:55 Michael Sun Kac’s Last Conjecture 18:00-18:40 Fan Wu Lie Algebras Generated by Indecomposable Friday 14:00-14:40 Michael Kemeny Quaternions in Geometry. Applications of algebraic geometric techniques to problems in global differential geometry via the quaternions. 14:45-15:25 Laurence Field From the Heisenberg group to the Weil representation 15:30-16:10 Yinan Zhang PRIMES is in P: a deterministic, polynomial time primality test 16:15-16:55 Alex Chalmers The Yangian of glN and it’s application 17:00-17:40 Ge Li Jantzen sum formula and its application on blocks 17:45-18:25 Andrew Cheeseman Efficient methods to rapidly identify enormous prime numbers