The Postgraduate Group Theory Conference (PGTC) was held 9th to the 12th of July 2012 at the University of York supported by a London Mathematical Society Postgraduate Research Conference grant.  A fantastic networking opportunity for PhD students, invited speakers were Professor Robert Wilson from Queen Mary, University of London and Dr. David Craven from Birmingham University, and others with an interest in group theory and related areas (lie algebras, representation theory, algebra in general...) to give a short presentation about their research to a friendly and interested audience. 

Participant List:

Michael Bate (University of York)
Paul Bradley (University of Manchester)
Tom Brookfield (University of Birmingham)
Alonso Castillo Ramirez (Imperial College London)
Glen Collins (University of Birmingham)
Malcolm Connolly (University of York)
David Craven (University of Birmingham)
Melanie de Boeck (University of Kent)
Sophie Decelle (Imperial College London)
Ronan Egan (NUI Galway, Ireland)
Joanna Fawcett (University of Cambridge)
Oliver Goodbourn (University of York)
Miklos Hartmann (University of York)
Jokke Häsä  (Imperial College London)
Heather Johnson (Gouldin)    (Lancaster University)
Sam Jones (University of Leicester)
Emma Leppälä (University of Oulu, Finland)
Alastair Litterick (Imperial College London)
Gabriela Nesin (University of Leicester)
Simon Peacock (Bristol University)
Andrew Poulton (Bristol University)
Simon St John-Green (University of Southampton)
Adam Thomas (Imperial College London)
Daniel Vasey (University of Manchester)
David Ward (University of Manchester)
Robert Wilson (Queen Mary, University of London)
Tim Crinion (University of Manchester)
Alan Logan (University of Glasgow)
Athirah Nawawi (University of Manchester)
Yanhui Wang (University of York)
Sam Wright (University of York)
Dandan Yang (University of York)
Rida-e Zenab (University of York)

Schedule:

Monday

1pm-2pm David Craven will talk on "The representation theory of non-existent groups of Lie type"

2pm-3:30pm Break (coffee and settling in if luggage in tow)

3:30pm-4:10pm Oliver Goodbourn

4:10pm-4:50pm Malcolm Connolly

Tuesday

7:30am-8:30am Breakfast in Derwent 

9:30am -10:10am Athirah Nawawi- "Commuting graphs for the McLaughlin Group"

10:10am-10:40am Tea and Coffee Break

10:40am-11:20am Glen Collins- "Properties of $2$-generated subgroups"

11:20am- 12:00 Paul Bradley- "Counting orbits of the induced action on $k$-subsets of $PSL(2,q)$"

12:00pm-13:30 Lunch Break

13:30pm-14:10pm Alan Logan- "On the automorphisms of $2$-generated groups"

14:10pm-14:50 Gabriela Asli Rino Nesin- "One-Counter Languages and Linear Languages and Groups"

14:50-15:20 Tea and Coffee Break

15:20-16:00 Sam Jones- "Groups, Formal Language Theory and Decidability"

16:00-16:40 Yan Hui Wang

16:40-17:10 Tim Crinion

Wednesday

7:30am-8:30am Breakfast in Derwent 

9:30am -10:10am Adam Thomas- "Irreducible subgroups of exceptional algebraic groups"

10:10am-10:40am Tea and Coffee Break

10:40am-11:20am  Daniel Vasey- "The Goldschmidt $G_{3}$-Amalgam"

11:20am- 12:00 Joanna Fawcett- "Regular orbits of symmetric groups"

12:00pm-13:30 Lunch Break

13:30pm-14:10pm Jokke Hasa- "Bounding the number of conjugacy classes of maximal subgroups in classical groups"

14:10pm-14:50 Sophie Decelle- "The $L_2(11)$ subalgebra of the Monster algebra is a Majorana representation"

14:50-15:20 Tea and Coffee Break

15:20-16:00 David Ward- "Homology of Presheaves of Abelian Groups: An Introduction"

16:00-16:40 Andrew Poulton- "Stable Categories and Group Rings"

18:30- Conference dinner in Wentworth Edge restaurant

Thursday

9:30-10:10 Alonso Castillo Ramirez- "Idempotents of the Norton-Sakuma Algebras"

10:10-10:50 Tom Brookfield-"Subgroups of symplectic groups containing a Singer cycle of the general linear group".

10:50-12:00 Tea and Coffee Break

12:00-13:00 Professor Robert Wilson will give the closing talk entitled "A tale of two lattices".

End.

The conference itself included 3 nights ensuite bed and breakfast accommodation on the beautiful University of York campus and a conference dinner on the evening of Wednesday 11th of July.