The Colloquia are followed by a reception designed to give people the opportunity to have more informal contact with the speaker. A book display will be available at this time in the common room. The series is funded, in part, through the generous support of Oxford University Press.
The colloquia are aimed towards a general mathematical audience.
Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.
A cubic polynomial equation in four or more variables tends to have many integer solutions, while one in two variables has a limited number of such solutions. There is a body of work establishing results along these lines. On the other hand very little is known in the critical case of three variables. For special such cubics, which we call Markoff surfaces, a theory can be developed. We will review some of the tools used to deal with these and related problems.
Joint works with Bourgain/Gamburd and with Ghosh