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.
Since its launch in 2013, Telegram has grown from a simple messaging app to a broadcast network. Its user base isn’t as vast as WhatsApp’s, and its broadcast platform is a fraction the size of Twitter, but it’s nonetheless showing its use. While Telegram has been embroiled in controversy for much of its life, it has become a vital source of communication during the invasion of Ukraine. But, if all of this is new to you, let us explain, dear friends, what on Earth a Telegram is meant to be, and why you should, or should not, need to care. Two days after Russia invaded Ukraine, an account on the Telegram messaging platform posing as President Volodymyr Zelenskiy urged his armed forces to surrender. "He has to start being more proactive and to find a real solution to this situation, not stay in standby without interfering. It's a very irresponsible position from the owner of Telegram," she said. Telegram users are able to send files of any type up to 2GB each and access them from any device, with no limit on cloud storage, which has made downloading files more popular on the platform. Groups are also not fully encrypted, end-to-end. This includes private groups. Private groups cannot be seen by other Telegram users, but Telegram itself can see the groups and all of the communications that you have in them. All of the same risks and warnings about channels can be applied to groups.
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