Zilber's Quasiminimality Conjecture states that the complex field equipped with the exponential function is quasiminimal, i.e. every definable subset is countable or co-countable. Despite remaining open, this conjecture led to multiple new concepts and results. One of the directions inspired by the conjecture is the investigation of analogous conjectures where the exponential map is replaced with another function or a function-like object. In most cases the obtained conjecture seems to stay as difficult as the exponential one; as pointed out by Koiran and Wilkie, it even remains open whether adding all entire functions to the complex field would make it quasiminimal or non-quasiminimal. In this talk we provide two quasiminimal examples of this sort: first one involves a correspondence between two elliptic curves, while the second one considers the theory of a generic function, as introduced by Zilber in 2002.
Zilber's Quasiminimality Conjecture states that the complex field equipped with the exponential function is quasiminimal, i.e. every definable subset is countable or co-countable. Despite remaining open, this conjecture led to multiple new concepts and results. One of the directions inspired by the conjecture is the investigation of analogous conjectures where the exponential map is replaced with another function or a function-like object. In most cases the obtained conjecture seems to stay as difficult as the exponential one; as pointed out by Koiran and Wilkie, it even remains open whether adding all entire functions to the complex field would make it quasiminimal or non-quasiminimal. In this talk we provide two quasiminimal examples of this sort: first one involves a correspondence between two elliptic curves, while the second one considers the theory of a generic function, as introduced by Zilber in 2002.
Pavel Durov, Telegram's CEO, is known as "the Russian Mark Zuckerberg," for co-founding VKontakte, which is Russian for "in touch," a Facebook imitator that became the country's most popular social networking site. Continuing its crackdown against entities allegedly involved in a front-running scam using messaging app Telegram, Sebi on Thursday carried out search and seizure operations at the premises of eight entities in multiple locations across the country. On December 23rd, 2020, Pavel Durov posted to his channel that the company would need to start generating revenue. In early 2021, he added that any advertising on the platform would not use user data for targeting, and that it would be focused on “large one-to-many channels.” He pledged that ads would be “non-intrusive” and that most users would simply not notice any change. Although some channels have been removed, the curation process is considered opaque and insufficient by analysts. If you initiate a Secret Chat, however, then these communications are end-to-end encrypted and are tied to the device you are using. That means it’s less convenient to access them across multiple platforms, but you are at far less risk of snooping. Back in the day, Secret Chats received some praise from the EFF, but the fact that its standard system isn’t as secure earned it some criticism. If you’re looking for something that is considered more reliable by privacy advocates, then Signal is the EFF’s preferred platform, although that too is not without some caveats.
from jp
