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In this episode of Discover Daily, we explore the European Commission's groundbreaking antitrust investigation into Corning's Gorilla Glass business practices. The probe examines potential anticompetitive behavior, including exclusive agreements that require manufacturers to source nearly all their specialized glass from Corning. With Apple's significant investment in Corning's technology at stake, the investigation could reshape the smartphone component industry.

We then delve into Rutgers mathematician Pham Tiep's remarkable solutions to two long-standing problems in representation theory. Using character theory, which studies how abstract groups can be represented by matrices, Tiep solved the Height Zero Conjecture and made key advances in Deligne-Lusztig theory. These solutions have practical applications in quantum mechanics, cryptography, and error-correcting codes.

The episode concludes with an alarming update from Naples, Italy, where the Phlegraean Fields supervolcano shows increased activity. In May 2024, the area experienced its most intense seismic event in four decades, with 150 earthquakes in five hours. The ground in Pozzuoli has risen 1.3 meters since 2007, and the Solfatara crater now emits 4,000-5,000 tons of CO2 daily. Naples authorities have implemented a comprehensive evacuation plan covering 286,000 residents in response to these developments.

From Perplexity's Discover Feed:

https://www.perplexity.ai/page/the-eu-s-gorilla-glass-investi-jdEQIg7ZTIKvNbKGnOeznQ

https://www.perplexity.ai/page/algebra-s-representation-theor-yQRBYjutTnuF8APUhIdXEQ

https://www.perplexity.ai/page/a-supervolcano-is-waking-up-wW5nLkUjQcSihu.lYffgMg

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