BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Sabre//Sabre VObject 4.5.8//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:Europe/Zurich X-LIC-LOCATION:Europe/Zurich TZURL:http://tzurl.org/zoneinfo/Europe/Zurich BEGIN:DAYLIGHT TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST DTSTART:19810329T020000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:19961027T030000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:news1922@dmi.unibas.ch DTSTAMP;TZID=Europe/Zurich:20251027T172443 DTSTART;TZID=Europe/Zurich:20251107T093000 SUMMARY:8th Rhine Seminar on Transcendence Basel-Freiburg-Strasbourg DESCRIPTION:Speaker: Charlotte Bartnick (Univ. Freiburg)Time: 10:50-11:40L ocation: Hörsaal 114\, Kollegienhaus\\r\\nTitle: Differentially closed f ields of positive characteristicAbstact: Differentially closed fields are the differential equivalent to algebraically closed fields. They provide a setting for model theorists to study differential algebraic questions.\\ r\\nIn this talk\, we will introduce the properties of differentially clos ed fields in positive characteristic from a model theoretic point of view. In particular\, we will describe definable groups. No prior model theoret ic knowledge is required.\\r\\n
\\r\\nSpeaker: Seoyoung Kim (Univ. Bas el)Time: 13:50-14:40Location: Hörsaal 114\, Kollegienhaus\\r\\nTitle: An application of Stepanov's method and its implication on multiplicative Sa rkozy's conjectureAbstract: We investigate the multiplicative structure of a shifted multiplicative subgroup and its connections with additive combi natorics and the theory of Diophantine equations. We show that if a nontri vial shift of a multiplicative subgroup G contains a product set AB\, then the size of the set |A||B| is essentially bounded by |G|\, refining a wel l-known consequence of a classical result by Vinogradov\, and a recent res ult of Hanson-Petridis based on Stepanov’s method. Using this\, we make progress towards a conjecture of Sarkozy on the multiplicative decompositi ons of shifted multiplicative subgroups. In particular\, we prove that for almost all primes p\, the set {x^2-1: x in F_p*} \\{0} cannot be decompos ed as the product of two sets in F_p non-trivially. If time permits\, we d iscuss recent progress on Sarkozy’s conjecture and the Lev-Sonn conjectu re. This is a joint work with K. Yip and S. Yoo.\\r\\n
\\r\\nSpeaker: K enza Memlouk (Univ. Strasbourg)Time: 15:10-16:00Location: Hörsaal 114\, K ollegienhaus\\r\\nTitle: Multiple zeta values and quiver representations\\ r\\nAbstract: In this talk\, we are interested in multiple zeta values. Th ey are periods associated to the category MTM(Z) of mixed Tate motives ove r the ring of integers. Recently\, A.Huber and M.Kalck have shown that som e subcategories of MTM(Z) are equivalent to representations of some quiver s. We will see the implications of this result on motivic multiple zeta va lues. More precisely\, we will compare this point of view with a construct ion of Goncharov and we will explore this new perspective on formal multip le zeta values.\\r\\n\\r\\nMore information on the website:\\r\\nhttps://r hine-transcendence.github.io/meeting8 [https://rhine-transcendence.github. io/meeting8] X-ALT-DESC:

Speaker: Charlotte Bartnick (Univ. Freiburg)
Time: \;10:50-11:40
Location: Hörsaal 114\, Kollegienhaus< /p>\n

Title: \;Differentially closed fields of positive characterist ic

Abstact: \;Differentially closed fields are the differen tial equivalent to algebraically closed fields. They provide a setting for model theorists to study differential algebraic questions.

\n

In thi s talk\, we will introduce the properties of differentially closed fields in positive characteristic from a model theoretic point of view. In partic ular\, we will describe definable groups. No prior model theoretic knowled ge is required.

\n

<\;hr>\;

\n

Speaker: \;Seoyou ng Kim (Univ. Basel)
Time: \;13:50-14:40
Location: Hörsaal 114\, Kollegienhaus

\n

Title: An application of Stepanov's m ethod and its implication on multiplicative Sarkozy's conjecture

Abstract: We investigate the multiplicative structure of a shifted multi plicative subgroup and its connections with additive combinatorics and the theory of Diophantine equations. We show that if a nontrivial shift of a multiplicative subgroup G contains a product set AB\, then the size of the set |A||B| is essentially bounded by |G|\, refining a well-known conseque nce of a classical result by Vinogradov\, and a recent result of Hanson-Pe tridis based on Stepanov’s method. Using this\, we make progress towards a conjecture of Sarkozy on the multiplicative decompositions of shifted m ultiplicative subgroups. In particular\, we prove that for almost all prim es p\, the set {x^2-1: x in F_p*} \\{0} cannot be decomposed as the produc t of two sets in F_p non-trivially. If time permits\, we discuss recent pr ogress on Sarkozy’s conjecture and the Lev-Sonn conjecture. This is a jo int work with K. Yip and S. Yoo.

\n

<\;hr>\;

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Speaker: Kenza Memlouk (Univ. Strasbourg)
Time: 15:10-16:00
Location: Hörsaal 114\, Kollegienhaus

\n

Title: Multiple zeta value s and quiver representations

\n

Abstract: In this talk\, we are inter ested in multiple zeta values. They are periods associated to the category MTM(Z) of mixed Tate motives over the ring of integers. Recently\, A.Hube r and M.Kalck have shown that some subcategories of MTM(Z) are equivalent to representations of some quivers. We will see the implications of this r esult on motivic multiple zeta values. More precisely\, we will compare th is point of view with a construction of Goncharov and we will explore this new perspective on formal multiple zeta values.

\n\n

More informatio n on the website:

\n

https://rhine-transcendence.github.io/meeting8

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