Seminars in Mathematical Sciences

Seminars in Mathematical Sciences

Seminars in the next week

Aug 20 (Thu)

14:00 MCS2068 ASGNobuo Sato (National Taiwan University): Multivariable Apéry-type sequences associated with regular graphs and periods of modular forms

The Apéry numbers are a well-known sequence of integers that played a central role in Apéry’s proof of the irrationality of $\zeta(3)$. Deep connections between the Apéry numbers and modular forms have since been revealed through the modular parametrization of their generating function and congruences, due to Beukers, as well as through the values of an interpolating function at half-integer points, studied by Golyshev and Zagier. In this talk, I will discuss connections between modular forms and integer sequences arising from Martin invariants, a family of graph invariants recently introduced by Panzer and Yeats. In particular, we introduce a multivariable generalization of the Martin sequence associated with the complete graph $K_5$ and show that results concerning special values of the interpolating function and the Apéry limit extend to this multivariable setting. This is joint work with Koji Tasaka.

Venue: MCS2068

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Current and Upcoming Events

These events are hosted in and/or organised by members of the Department (follow links for details):

Sep 09--11 [tba] Durham Symposium: Mathematical Approaches to Spatial Biology

Upcoming Seminars by Series

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• Amplitudes and Correlators

Contact: arthur.lipstein@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Analysis and PDE

Usual Venue: MCS2068

Contact: yohance.a.osborne@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Applied Mathematics

Usual Venue: MCS3070

Contact: andrew.krause@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Arithmetic Study Group

Usual Venue: MCS2068

Contact: herbert.gangl@durham.ac.uk

Aug 20 14:00 Nobuo Sato (National Taiwan University): Multivariable Apéry-type sequences associated with regular graphs and periods of modular forms

The Apéry numbers are a well-known sequence of integers that played a central role in Apéry’s proof of the irrationality of $\zeta(3)$. Deep connections between the Apéry numbers and modular forms have since been revealed through the modular parametrization of their generating function and congruences, due to Beukers, as well as through the values of an interpolating function at half-integer points, studied by Golyshev and Zagier. In this talk, I will discuss connections between modular forms and integer sequences arising from Martin invariants, a family of graph invariants recently introduced by Panzer and Yeats. In particular, we introduce a multivariable generalization of the Martin sequence associated with the complete graph $K_5$ and show that results concerning special values of the interpolating function and the Apéry limit extend to this multivariable setting. This is joint work with Koji Tasaka.

Venue: MCS2068

• CPT Colloquium

Usual Venue: OC218

Contact: mohamed.anber@durham.ac.uk

For more information, see HERE.

No upcoming seminars have been scheduled (not unusual outside term time).

• Department Research Colloquium

Usual Venue: MCS0001

Contact: inaki.garcia-etxebarria@durham.ac.uk,sunil.chhita@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Distinguished and Public Lectures

Usual Venue: MCS0001

Contact: alpar.r.meszaros@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Education and Pedagogy

Usual Venue: MCS3052

Contact: andrew.krause@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

Usual Venue: MCS3070

Contact: daniel.n.disney@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Geometry and Topology

Usual Venue: MCS2068

Contact: martin.p.kerin@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• HEP Journal Club

Usual Venue: MCS3070

Contact: mendel.t.nguyen@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• HEP Lunchtime

Usual Venue: MCS0001

Contact: p.e.dorey@durham.ac.uk,enrico.andriolo@durham.ac.uk,tobias.p.hansen@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Probability

Usual Venue: MCS2068

Contact: tyler.helmuth@durham.ac.uk,oliver.kelsey-tough@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Pure Maths Colloquium

Usual Venue: MCS2068

Contact: michael.r.magee@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Spectra and Moduli

Usual Venue: MCS3070

Contact: joe.thomas@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

Usual Venue: MCS2068

Contact: hyeyoung.maeng@durham.ac.uk,andrew.iskauskas@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

• Stats4Grads

Contact: adam.stone2@durham.ac.uk

No upcoming seminars have been scheduled (not unusual outside term time).

Special Series

These link to some of the special events hosted by the Department:

• [LMS|EPSRC] Durham Symposia (from 1974)

• Collingwood Lectures (from 1984)