It's a pleasure to announce that a new article has just been published by our recent research fellows Prof Sako and Prof Grosse as an outcome of their Research in Teams Project at @ESIVienna. 📑

🔵 Harald Grosse, Akifumi Sako: #Integrability of Φ
4 Matrix Model
as N-body Harmonic Oscillator System 🔵

Check out the article on https://arxiv.org/pdf/2308.11523.pdf

(Permission is given by the authors for using their figure from the paper for this post)

#MathematicalPhysics #HighEnergyPhysics
@univienna @

Okay so maybe I'll do another #Introduction since it seems timely. I'm Anton, I'm from the #Philippines and I'm currently a PhD student in #Mathematics at University of Vermont.

Within mathematics I specialize in #NumberTheory and within number theory I specialize in #ArithmeticGeometry. If I have to be even more particular, I work on automorphic forms, Galois representations (including p-adic Hodge theory), Shimura varieties, and arithmetic manifolds which cannot give rise to Shimura varieties. All of these things are related to what is known as the Langlands program.

I also have a master's degree in #Physics; I currently do not do research related to physics (though some of the math that I use, such as the theta correspondence, were inspired by physics) but I have a soft spot for #MathematicalPhysics (maybe in the future I'll be able to work on that).

Besides math I like a lot of stuff especially #CuteAnimals and especially #Bunnies. I also like #VideoGames though I'm both too busy and too poor currently to play them. I also like #Art by which I just mean anything that looks cool to me. I mainly want to discuss #Math on here, but by no means will I be posting about only that.

My website is here:

https://sites.google.com/view/antonhilado

I also have a blog on math and physics:

https://ahilado.wordpress.com/

Have you seen the latest article from our workshop (non-regular #spacetime #geometry) participants? 👉
Saúl Burgos, José Luis Flores and Jónatan Herrera: The c-completion of Lorentzian metric spaces

#SpacetimeGeometry
#DifferentialGeometry #GeneralRelativity #QuantumCosmology #MathematicalPhysics #Quantum #Cosmology #Relativity #MetricGeometry

@univienna
https://arxiv.org/pdf/2305.02004.pdf

(for the motion picture please visit https://twitter.com/ESIVienna/status/1671167715313344512)

Have you seen the latest article by Brian Allen, a former workshop participant?

#Spacetime #Geometry #SpacetimeGeometry
#DifferentialGeometry #GeneralRelativity #QuantumCosmology #MathematicalPhysics #Quantum #Cosmology #Relativity #MetricGeometry

@univienna

We are pleased to announce that Kaushlendra Kumar from Uni Hannover, one of our Junior Research Fellows is going to give an insight in his work in his research project at ESI.

🟢 When? On Thursday, 4th May 2023 at 13.15
➡️ Where? At @ESIVienna, in our Schrödinger Lecture Hall

#HighEnergyPhysics #MathematicalPhysics
@univienna

Are you keen to read about results in #MathematicalPhysics and Analysis of #PDEs? Take a look at the paper of our previous workshop participant! 🧐

#FunctionalAnalysis #SpectralTheory
@univienna

https://arxiv.org/pdf/2303.04527.pdf

⚛️ David Perez-Garcia @unicomplutense aims to update the definition of #matter which could result in a “periodic table for the #quantumphases of matter”.

Curious to discover more? 👉 http://bit.ly/3M6vMtY

@MatematicasUCM @EUScienceInnov #mathematicalphysics #ai

🐦🔗: https://n.respublicae.eu/ERC_Research/status/1643188215220940800

Don't miss the newest publication of our workshop participants from last year, if your research is connected to #MathematicalPhysics and #QuantumPhysics! 👀

#StronglyCorrelatedElectrons
@univienna

https://arxiv.org/pdf/2102.07209.pdf

We thank Prof Elliott Lieb for taking a long journey from @princeton Princeton
University and giving us an insight into his research work. 🔎 He is a living example of that the age is only a number and you can still accomplish a lot at the age of 91. 🎉
Watch his lecture on YouTube 🔜 www.youtube.com/@ESIVienna

#MathematicalPhysics #Bosegas #condensedmatter #statisticalmechanics #statmech #functionalanalysis

@univienna

If you're interested in #mathematicalphysics, don't miss the next lecture at
@ESIVienna
! 📆

We are pleased to announce that one of the ESI Medal recipients, Prof. Elliott H. Lieb is going to hold a talk this week! 🎊

#Bosegas @univienna @princeton @princetonupress @princetonphys

Geodesic equation using Einstein summation convention:
\[\boxed{\ddot{\gamma}^\mu+\Gamma^\mu_{\alpha\beta}\dot\gamma^\alpha\dot\gamma^\beta=0}\]
which are the Euler-Lagrange equations of motion for the energy functional, and \(\Gamma^\mu_{\alpha\beta}\) are the Christoffel symbols. In general relativity, a geodesic generalizes the notion of a "straight line" to curved spacetime. #generalrelativity #spacetime #mathematicalphysics #geodesic #differentialgeometry #physics #differentialequations

Dr Brian Keating
Love and Math: Edward Frenkel
https://www.youtube.com/watch?v=b67o24J3bAs

#BrianKeating #EdwardFrenkel #EulerBookPrize #LanglandsProgram #Math #MathematicalPhysics

Are you into #MathematicalPhysics? 📏 Read the latest paper of our visitor from the workshop #SpectralTheory of differential operators in #quantumtheory. 📗

https://arxiv.org/pdf/2109.04052.pdf

@univienna

#Preprint alert! The first paper-to-be for my PhD 😎

https://arxiv.org/abs/2211.16111

My supervisor and I show that the cubic nonlinear wave equation has an invariant Gibbs measure over \( \mathbb R^2 \). This gives almost sure existence and uniqueness. Idea: finite speed of sound reduces to periodic. We also do the same in a weaker sense for Schrödinger.

The topic is hot: Oh, Tolomeo, Wang, and Zheng put up a very similar result (with different tools) just a few weeks ago.

#MathematicalPhysics

Typical problem of #mathematicalphysics , now also for #consciousness: Most debates have passed once my contribution is ready... 🤔 😅

The Rosetta Stone (pocket version)
from: "Physics, Topology, Logic and Computation:
A Rosetta Stone" by @johncarlosbaez

"At present, the deductive systems in mathematical logic look like hieroglyphs to most physicists. Similarly, quantum field theory is Greek to most computer scientists, and so on. So, there is a need for a new Rosetta Stone to aid researchers attempting to translate between fields."

Has anything changed since 2009?

#mathematicalPhysics

Something that came up in my #MathematicalPhysics research. We were looking at permutahedra and ways to divide them into parts which create a garden algebra. We looked at various substructures, including the 6-6 duoprism I attached. I found a result that says the permutahedron can be represented as a projection of a hypercube, and found various hypercube projections that created the other structures as well.

RT @Coni777@twitter.com

Check out this beautiful and touching video on the first person to be awarded the Olga Alexandrovna Ladyzhenskaya Prizein Mathematical-Physics: Svetlana Jitomirskaya https://youtu.be/rRHrLTz94nA #OALprize #jitomirskaya #mathematicalphysics #womeninSTEM #womeninmaths #ukraine

🐦🔗: https://twitter.com/Coni777/status/1551169061689729024