Seminars in Mathematical Sciences

Seminars in Mathematical Sciences

Seminars in the next week

Apr 29 (Tue)

14:00 MCS2068 APDEMichael Levitin (University of Reading): From asymptotics to bounds: spectral geometry, ODEs, and number theory

There are many situations when asymptotic behaviour of some multi-parameter-dependent quantity (when one of the parameters gets large) provides an upper or lower bound for this quantity for all values of parameters. A classical example of this phenomenon is Polyas conjecture in spectral geometry stating that the leading term of Weyls asymptotics of the eigenvalue counting function for the Laplacian in a bounded Euclidean domain is an upper bound (in the Dirichlet case) or a lower bound (in the Neumann case) for the counting function for all values of the parameter. This conjecture is still open in full generality: Ill discuss its recent resolution for disks, balls, sectors and annuli, as well as other similar or related phenomena arising in other subjects, from ODEs to number theory.

Venue: MCS2068

May 01 (Thu)

14:00 MCS2068 G&TRaphael Zentner (Durham): SL(2,C)-representations of 2-torsion homology spheres, and applications to the Kauffman skein module

In recent joined work with Sudipta Ghosh and Steven Sivek we prove that any rational homology 3-sphere whose first homology group is 2-torsion, and which is not a connected sum of RP^3s, admits irreducible representations to SL(2,C) of its fundamental group. This has applications to the question of torsion in the Kauffman skein module. We will explain elements of the proof of our result, and how the application to the skein module is derived.

Venue: MCS2068

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Upcoming Seminars by Series

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• Amplitudes and Correlators

Usual Venue: zoom

Contact: arthur.lipstein@durham.ac.uk

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

• Analysis and PDE

Usual Venue: MCS3070

Contact: sabine.boegli@durham.ac.uk

Apr 29 14:00 Michael Levitin (University of Reading): From asymptotics to bounds: spectral geometry, ODEs, and number theory

There are many situations when asymptotic behaviour of some multi-parameter-dependent quantity (when one of the parameters gets large) provides an upper or lower bound for this quantity for all values of parameters. A classical example of this phenomenon is Polyas conjecture in spectral geometry stating that the leading term of Weyls asymptotics of the eigenvalue counting function for the Laplacian in a bounded Euclidean domain is an upper bound (in the Dirichlet case) or a lower bound (in the Neumann case) for the counting function for all values of the parameter. This conjecture is still open in full generality: Ill discuss its recent resolution for disks, balls, sectors and annuli, as well as other similar or related phenomena arising in other subjects, from ODEs to number theory.

Venue: MCS2068

• Applied Mathematics

Usual Venue: MCS2068

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

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

• 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: sabine.boegli@durham.ac.uk,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).

• Ergodic Theory and Dynamics

Usual Venue: MCS3070

Contact: gabriel.fuhrmann@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

May 01 14:00 Raphael Zentner (Durham): SL(2,C)-representations of 2-torsion homology spheres, and applications to the Kauffman skein module

In recent joined work with Sudipta Ghosh and Steven Sivek we prove that any rational homology 3-sphere whose first homology group is 2-torsion, and which is not a connected sum of RP^3s, admits irreducible representations to SL(2,C) of its fundamental group. This has applications to the question of torsion in the Kauffman skein module. We will explain elements of the proof of our result, and how the application to the skein module is derived.

Venue: MCS2068

Jun 12 14:00 Ilka Agricola (Marburg): TBD

Venue: MCS2068

• HEP Journal Club

Usual Venue: MCS3070

Contact: andrea.grigoletto@durham.ac.uk,nakarin.lohitsiri@durham.ac.uk

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

• HEP Lunchtime

Usual Venue: MCS0001

Contact: silvia.nagy@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: kohei.suzuki@durham.ac.uk

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

• Pure Maths Colloquium

Usual Venue: MCS0001

Contact: raphael.zentner@durham.ac.uk

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

• Spectra and Moduli

Usual Venue: MCS3070

Contact: irving.d.calderon-camacho@durham.ac.uk,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)