15:45
Slice discs in stabilized 4-balls
Abstract
We recall the impact of stabilizing a 4-manifold with $S^2 \times S^2$. The corresponding local situation concerns knots in the 3-sphere which bound (nullhomotopic) discs in a stabilized 4-ball. We explain how these discs arise, and discuss bounds on the minimal number of stabilizations needed. Then we compare this minimal number to the 4-genus.
This is joint work with A. Conway.
We often need mathematics and science to understand our lives. But we also need the Arts. And especially music. In fact they often work best together.
The Villiers Quartet are Quartet in Residence at Oxford University and on February 8th we welcome them for the first time to the Andrew Wiles Building, home of Oxford Mathematics for an evening of Haydn, Beethoven and Mozart.
Haydn - Quartet in G, Op. 77 No.1
Mozart - Quartet G, K. 387
False theta functions and their modular properties CANCELLED
THIS TALK HAS BEEN CANCELLED
Abstract
In my talk I will discuss modular properties of false theta functions. Due to a wrong sign factor these are not directly seen to be modular, however there are ways to repair this. I will report about this in my talk.
Is a random polynomial irreducible?
Abstract
Given a "random" polynomial over the integers, it is expected that, with high probability, it is irreducible and has a big Galois group over the rationals. Such results have been long known when the degree is bounded and the coefficients are chosen uniformly at random from some interval, but the case of bounded coefficients and unbounded degree remained open. Very recently, Emmanuel Breuillard and Peter Varju settled the case of bounded coefficients conditionally on the Riemann Hypothesis for certain Dedekind zeta functions. In this talk, I will present unconditional progress towards this problem, joint with Lior Bary-Soroker and Gady Kozma.
19th Oxford Cambridge Applied Maths Meeting (aka The Woolly Owl)
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OCIAM @ 30 years - PROGRAM RELEASED
Please register here
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OCIAM was created in 1989, when Alan Tayler, the first director, moved with a group of applied mathematicians into the annex of the Mathematical Institute in Dartington House.
To celebrate our 30th anniversary we have invited twenty speakers, all of whom have spent time in OCIAM, to talk on some of the many aspects of work generated by the group.
This programe will build on the success of ‘Mathematics in the Spirit of Joe Keller’, hosted by the Isaac Newton Institute, Cambridge in 2017.
Programme
The scientific talks commence on Monday 24th June and finish early afternoon on Tuesday 25th June, with lunch served on both days.
There will be a conference dinner on Monday evening at Somerville College, and on Tuesday afternoon the Mathematical Institute cricket match and BBQ at Merton College Pavilion, to which everyone is invited.
Mathematrix - Meet Vicky Neale
Sharing her academic path and experience with teaching and outreach