Answers for Scholze-Stix?

Estimated Reading Time: 3 minutes

TL;DR

This week we have a short post covering a few interesting posts around the web including potential progress towards resolving issues in Mochizuki’s claimed proof of the ABC conjecture

Progress Towards the ABC-Conjecture?

A new paper sketch by Kirti Joshi (https://arxiv.org/abs/2210.11635) claims to resolve objections raised by Scholze and Stix (https://www.math.uni-bonn.de/people/scholze/WhyABCisStillaConjecture.pdf) about Mochizuki’s claimed proof of the ABC-conjecture. While the work has not yet been peer reviewed, if confirmed, it could potentially resolve the issues in Mochizuki’s proof. Joshi has yet to release a follow-up paper that contains more details so it may be some time before the mathematical community forms a solid opinion.

Juliette Bruce @JulietteBruce12

Is this suggesting (claiming?) an independent proof (building upon the ideas of Mochizuki) of the ABC conjecture? arxiv.org/abs/2210.11635

Interesting Links from Around the Web

• https://www.quantamagazine.org/inside-the-proton-the-most-complicated-thing-imaginable-20221019/: A really neat article about the complexities of proton physics.

• https://spectrum.ieee.org/millimeter-wave-power-amplifier-startup: A write-up of a startup working on millimeter-wave power amplifiers

• https://www.nature.com/articles/d41586-022-03392-2: A number of new KRAS drugs are now in the clinic.

• https://www.tomshardware.com/news/intel-is-back-to-profitability-but-lowers-expectations-for-q4-2024: Intel has posted poor earnings results for this year and expects to make further layoffs.

• https://www.science.org/content/article/u-s-weighs-crackdown-experiments-could-make-viruses-more-dangerous: The US may be reconsidering its policy on gain of function virology research.

• https://github.com/kindelia/hvm: A cool project to make a parallel runtime for functional programming languages.

• A fascinating paper about tuning the frequency of a sinusoid through gradient descent

Ben Hayes @benhayesmusic

Have you ever tried to tune the frequency of a sinusoid by gradient descent? It's harder than you might think. But we came up with a solution! Read on to find out more. 📝 paper: arxiv.org/pdf/2210.14476… \begin{thread}

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Author: Bharath Ramsundar, Ph.D.

Editor: Sandya Subramanian, Ph.D.