Title: Arithmetic on hyperelliptic Jacobians and singular curves
Abstract: Mumford representation encodes each divisor class in the Jacobian of a nonsingular hyperelliptic curve as a unique pair of polynomials. And Cantor’s Algorithm provides an implementation of the addition of two divisor classes in this setting. In my thesis, I extended these ideas to study the arithmetic on Jacobians of…
Abstract:
Let G be a p-adic reductive group (e.g. GL_n(Q_p)) and let I be a pro-p Iwahori subgroup of G (e.g. matrices over Z_p which are upper unitriangular modulo p). In the study of so-called smooth G-representations over a field k of characteristic p, one is naturally led to consider the convolution algebra H=k[I\G/I] of I-bilinear compactly supported functions on G and its associated category of modules. These categories (of smooth…
Numerical Integration Maths circle meeting on 10 May 2025
Room and time: virtual/online with the video conferencing software Zoom (Paderborn University campus licence) from 10:00 to 13:00
Leader of the workshop: Dr. Kerstin Hesse
Description: How do you calculate the area between the graph of a function and the x-axis on the interval [a,b]? In doing so, parts of the area above the x-axis should have a positive sign and parts of the area below…
Prime numbers and prime twins Maths circle meeting on 24 May 2025
Room and time: virtual/online with the video conferencing software Zoom (Paderborn University campus licence) from 10:00 to 13:00
Leader of the workshop: Dr. Kerstin Hesse
Description: A prime number is a natural number greater than or equal to 2 that has only the number 1 and itself as its only positive divisors. We prove that there are infinitely many prime numbers and we…
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Bei Interesse an einer online-Teilnahme (sei es regelmäßig oder auch nur an einem bestimmten Vortrag) bitten wir vorab mit Tobias Weich oder Benjamin Delarue Kontakt aufzunehmen, damit der Teilnahmelink geteilt werden kann.
Geometric figures in the square grid
Maths circle meeting on 14 June 2025
Room and time: virtual/online with the video conferencing software Zoom (Paderborn University campus licence) from 10:00 to 13:00
Leader of the workshop: Dr Kerstin Hesse
Description: We consider a rectangular square grid in which all points of the grid have a distance of 1 to the direct link to the neighbouring points. The grid points are therefore (m,n), where m, n…
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Der Vortrag findet in Zoom statt, der entsprechende Link wird über den Fachgruppenverteiler versendet. Externe Teilnehmende melden sich bitte mit Namen und Institution bei Frau Jun.-Prof. Dr. Julia Bruns (bruns(at)math.uni-paderborn(dot)de) an, und erhalten dann den Link per Mail.
