Wed, 19 Feb 2025
11:00
L4

A new take on ergodicity of the stochastic 2D Navier-Stokes equations

Dr Jonas Tölle
(Aalto University)
Abstract

We establish general conditions for stochastic evolution equations with locally monotone drift and degenerate additive Lévy noise in variational formulation resulting in the existence of a unique invariant probability measure for the associated ergodic Markovian Feller semigroup. We prove improved moment estimates for the solutions and the e-property of the semigroup. Examples include the stochastic incompressible 2D Navier-Stokes equations, shear thickening stochastic power-law fluid equations, the stochastic heat equation, as well as, stochastic semilinear equations such as the 1D stochastic Burgers equation.

Joint work with Gerardo Barrera (IST Lisboa), https://arxiv.org/abs/2412.01381

Mid-term questionnaire

Student in a lectureThe mid-term questionnaire is now available on Moodle and will remain open until Friday 7th February.

Fridays@2

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A reminder that Friday's@2 is back for Hilary term! As ever, tea and biscuits, and further informal chat will be available afterwards.
 

Upcoming sessions in Fridays@2 include:

Oxford SU sabbatical officer elections for 2025-26

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The nomination deadline for the Oxford SU sabbatical officer elections for 2025-26 is today Friday 31st January.

We're looking to encourage strong candidates to run and there's still time to make a nomination. If you know any students who you think would make great sabbatical officers, please either:

CCI Campus Recruitment

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CCI (Castleton Commodities International), a leading global energy commodities trader and infrastructure asset investor, will be running coffee chats on 6 March, providing an opportunity to learn more about their commodities rotational Analysis & internship program.

Bridgewater Associates | Metaculus Forecasting Contest

FlyerGet in the Game: Bridgewater | Metaculus Forecasting Contest
Can you predict the future? Let’s find out. 

At Bridgewater Associates, we believe the best ideas can come from anywhere and anyone – no matter where you live, what school you go to, or your background.  

Cambridge Summer Research Internships

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The University of Cambridge have two summer research internship programmes that are open to students from other universities. Please see more information in the attached flyers.

Song of the Week: New Order - Temptation

New Order were formed after the death of Ian Curtis ended the career of Joy Division. At first they struggled. They seemed to, er, quite like dance music and the first album was over-produced. But when 'Temptation' was released you knew something was afoot. Brilliant drumming, years ahead of its time and worth waiting for the lines towards the end: 'oh you've got green eyes, oh you've got blue eyes, oh you've got grey eyes'. Yes, a love song. 

More famous songs were to come, but any better than this?

Thu, 06 Feb 2025
17:00
L6

Parametrising complete intersections

Jakub Wiaterek
(University of Oxford )
Abstract

For some values of degrees d=(d_1,...,d_c), we construct a compactification of a Hilbert scheme of complete intersections of type d. We present both a quotient and a direct construction. Then we work towards the construction of a quasiprojective coarse moduli space of smooth complete intersections via Geometric Invariant Theory.

Wanted: bassist, drummer and singer

PhD student Vishal Gupta is putting together a band and he needs a bassist, a drummer and a singer, ideally to play (not too heavy) rock music.  Interested? @email

And I will be in touch soon with those of you who play an instrument to talk about making sweet music and sweet films.

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