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Autumn Semester 2023

Date / Time Speaker Title Location
22 September 2023
14:15-15:15		 Dr. Peter Hubrecht Koymans
ETH Zurich, Switzerland
Event Details

Number Theory Seminar

Title The negative Pell equation
Speaker, Affiliation Dr. Peter Hubrecht Koymans,ETH Zurich, Switzerland
Date, Time 22 September 2023, 14:15-15:15
Location HG G 43
Abstract In this talk we will study the negative Pell equation, which is the conic C_D : x2- D y2= -1 to be solved in integers x, y in Z. We shall be concerned with the following question: as we vary over squarefree integers D, how often is C_D soluble? Stevenhagen conjectured an asymptotic formula for such D. Fouvry and Kluners gave upper and lower bounds of the correct order of magnitude. We will discuss a proof of Stevenhagen's conjecture, and, time permitting, potential applications of the new proof techniques. This is joint work with Carlo Pagano.
The negative Pell equationread_more
HG G 43
29 September 2023
14:15-15:15		 Dr. Vivian Kuperberg
ETH Zürich
Event Details

Number Theory Seminar

Title Consecutive sums of two squares in arithmetic progressions
Speaker, Affiliation Dr. Vivian Kuperberg,ETH Zürich
Date, Time 29 September 2023, 14:15-15:15
Location HG G 43
Abstract In 2000, Shiu proved that there are infinitely many primes whose last digit is 1 such that the next prime also ends in a 1. However, it is an open problem to show that there are infinitely many primes ending in 1 such that the next prime ends in 3. In this talk, we'll instead consider the sequence of sums of two squares in increasing order. In particular, we'll show that there are infinitely many sums of two squares ending in 1 such that the next sum of two squares ends in 3. We'll show further that all patterns of length 3 occur infinitely often: for any modulus q, every sequence (a mod q, b mod q, c mod q) appears infinitely often among consecutive sums of two squares. We'll discuss some of the proof techniques, and explain why they fail for primes. Joint work with Noam Kimmel.
Consecutive sums of two squares in arithmetic progressionsread_more
HG G 43
13 October 2023
14:15-15:15		 Prof. Dr. William Duke
UCLA
Event Details

Number Theory Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. William Duke,UCLA
Date, Time 13 October 2023, 14:15-15:15
Location HG G 43
Abstract TBA
Title T.B.A.read_more
HG G 43
20 October 2023
14:15-15:15		 Dr. Brandon Williams
RWTH Aachen
Event Details

Number Theory Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Brandon Williams,RWTH Aachen
Date, Time 20 October 2023, 14:15-15:15
Location HG G 43
Abstract TBA
Title T.B.A.read_more
HG G 43
27 October 2023
14:15-15:15		 Ingmar Metzler
TU Darmstadt
Event Details

Number Theory Seminar

Title Title T.B.A.
Speaker, Affiliation Ingmar Metzler,TU Darmstadt
Date, Time 27 October 2023, 14:15-15:15
Location HG G 43
Title T.B.A.
HG G 43
3 November 2023
14:15-15:15		 Prof. Dr. Javier Fresán
巴黎索邦大学é
Event Details

Number Theory Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Javier Fresán,巴黎索邦大学é
Date, Time 3 November 2023, 14:15-15:15
Location HG G 43
Title T.B.A.
HG G 43
10 November 2023
Event Details

Number Theory Seminar

Title Swiss Number Theory Days
Speaker, Affiliation
Date, Time 10 November 2023,
Location
Swiss Number Theory Days
17 November 2023
14:15-15:15
Event Details

Number Theory Seminar

Title Arithmetica Transalpina
Speaker, Affiliation
Date, Time 17 November 2023, 14:15-15:15
Location
More information https://people.www.cintaputih.com/~zerbess/ArithmeticaTransalpina.html
Arithmetica Transalpinaread_more
2023年11月24日
14:15-15:15		 Prof. Dr. Claudia Alfes-Neumann
Universität Bielefeld
Event Details

Number Theory Seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Claudia Alfes-Neumann,Universität Bielefeld
Date, Time 2023年11月24日, 14:15-15:15
Location HG G 43
Abstract TBA
Title T.B.A.read_more
HG G 43
8 December 2023
14:15-15:15		 Dr. Paul Kiefer
Bielefeld University
Event Details

Number Theory Seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Paul Kiefer,Bielefeld University
Date, Time 8 December 2023, 14:15-15:15
Location HG G 43
Title T.B.A.
HG G 43

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