The mathematical work of Vladimir Voevodsky - Dan Grayson

Vladimir Voevodsky Memorial Conference
Topic: The mathematical work of Vladimir Voevodsky
Speaker: Dan Grayson
Affiliation: University of Illinois, Urbana-Champaign
Date: September 11, 2018
For more video please visit video.ias.edu

[@kamilziemian995]

Beautiful, elegiac, inspiring lecture. Requiescat in pace Vladimir Voevodsky.

[@nicolaswezel3736]

Thank you so much to giving a taste of such profound ideas to non mathematicians

[@sanjursan]

At 7:40 we see the object of so many Topological thought experiments, the Gedunkin Donut!

[@firstnamegklsodascb4277]

awesome lecture, RIP

[@xnopyt647]

Shoutout to his family

[@srikanthtupurani6316]

Such a great mathematician. It is so sad. He was a humble soul.

[@NoNTr1v1aL]

Amazing!

[@thcoura]

Fantastic

[@rewtnode]

Just wondering what happens if there is an undiscovered bug in the compiler for checking abstract mathematics of some real complexity.

[@andrewkelley7062]

There alot of ways that can fail and it is position determined.

[@peterfriedman2830]

Compilers are exactly the kinds of things that (the kinds of) software based proof assistants (that Voevodsky was using and advocating) are used to check. And nowadays there are 'quality control standards' for new compilers that require the compiler to be tested with a proof assistant. This 'formal verification' approach began in 1972. Here's a link: compcert.inria.fr/man/manual001.html

[@kamilziemian995]

​@@peterfriedman2830 Thank you, I will take a look at this link, at least some day.

[@tigr171975]

Trying to understand h-level hierarchy... So if we define elements of some collection C in an abstract way, it is not the case that C is a set unless we show that there is a unique way to prove that two elements of C are the same. What I don't fully understand is what does it mean for two proofs to be the same. I guess this means there is path between proofs in the space of proofs. For example, if we replace triangle (around 47th minute) with circle then any rotation of circle is a proof but all such proofs are the same because we can rotate one proof into any other proof in the space of proofs.

[@paltieri11]

🙏

[@Gauravkumar-kq4ks]

can ias help me to solve this problem

[@Gauravkumar-kq4ks]

how to find the equation of spiral curve along a cone

[@WillTalbot]

dr/dt = constant1, d\theta/dt = constant2. r ^2=x^2+y^2+z^2. r is speed, \theta is angle, dr/dt is radial speed, d/theta/dt = angular speed.

[@intermaths1128]

@@WillTalbot r is distance from origin

[@99bits46]

Vladimir is op, should have been nerfed

[@jusiphstolin8074]

Got totally nerfed

[@davidwilkie9551]

All information is naturally dualistic identification of Eternity Now, geometrically, the temporal point connection of an omnidirectional, omnipresent phase shape, so topology emerges from unity, the connected infinite eternal positioning spectrum in quantization probability, in this potential possibly of infinity phases of dominance, eg in the point, line, circle to donut, shape steps shown by temporal duration inflation. Time duration is substantiation/substance.., the preliminary concept in principle of QM-Time. Linking the Observer's intuition and descriptive language of the presented mathematics with QM-TIMESPACE, ..that is the Polar-Cartesian Coordination of 1-0Duration eternity-now probability connection in a mathematically drawn virtual vector, perspective/C of G projection.., ..means (math-philosophy), that the primary "dimensionless" constant connection Now is Actuality, actively omnidirectional and omni present dimensionally, the undifferentiated existence that's Spaced zero to infinity-eternity, according to the connection probability dominance, ..via the QM-Time principle logic cause-effect of Analog Quantum Computational potential possibilities.., ..the natural sequences of dimensional degrees of freedom diminishing in scales of pseudo randomness are the math-philosophy environment of images in Reality. Ie the remembered images accumulated over a lifetime of experience and perceptions are reprocessing via 1-0 vanishing point singularity eternity-now, in the observer's mind, and simultaneously projected into an implied description of the sum of all history in Polar-Cartesian connection, .. the concept of the mathematical workings in whatever nomenclature is being used. It's naturally amplitudes and frequencies of probabilities in potential possibilities modulation (communication, conduction, eternity-now connection) via the universal wave-package vanishing point singularity, (recognising the same active/actual principle as described in the One Electron theory). The image provided can be interpreted as an "insideout" quantum surface diagram of the 3D Polar-Cartesian orientation at 1-0D probability zero origin.., reciprocal relationships of point location, line distribution sequences, e-Pi-i boundary surfaces and all potential possibilities of Unitarity one, imagined in context.., something/connection in nothing in quantization probability diagrammatic images simultaneously/superimposed onto continuously contained nothing/disconnection. (Ie, this is the observable universe cause-effect of eternity-now)

[@geometerfpv2804]

That...is the most random collection of mathematical words arranged in no particular order I have ever seen in my life. Wow.