**February 2.** Symmetry (David Vogan).

**February 4.** Groups and actions (David Vogan).

**February 7.** Fields (Matt Garcia).

**February 9.** Adjoining roots (Gary Sivek).

**February 11.** Finite
fields (John Rogers); Groups of order 8 (Eitan Reich).

**February 14.** Symmetry groups of regular solids
(David Vogan).

**February 16.** The
symmetric group (Harold Cooper).

**February 18.** The finite general linear group (Gabe
Cunningham); Projective space (David Glasser).

**February 22.** Grassman
varieties (David Vogan).

**February 23.** Simple
groups (Gen Hanlon and Rachel Lee).

**February 25.** Regular solids in higher dimensions
(Gary Sivek); Iwasawa's theorem (Gen Hanlon
and Rachel Lee).

**February 28.** Introduction to bilinear forms (Eitan Reich).

**March 2.** Quaternions (Daniel Briggs).

**March 4.** Hyperbolic
planes and Witt's cancellation theorem for symmetric forms (Yelena
Yasinnik).

**March 7.** Counting subspaces by row reduction (Yaim
Cooper); classification of quadratic forms
over finite fields (David Glasser).

**March 9.** Generators for the symplectic group (text,
21-24) (Yaim Cooper).

**March 11.** Sylow theorems for
GL_n(F_q) (Gabe Cunningham).

**March 14.** Order of the
finite symplectic group (text, 25-29) (David Vogan).

**March 16.** Generators for the orthogonal group
(text, 45-49) (Katherine Dalis); recursion
formula for #G(k,n)(F_q) (Nicholas Lucero).

**March 18.** PGL(2) over
small fields (John Rogers); the Rubik's cube group (Jenna Hanlon).

**March 28.** Generators for the orthogonal group continued
(text, 45-49) (Katherine Dalis); normal subgroups for the orthogonal
group (Yelena Yasinnik).

**March 30.** Normal subgroups for the orthogonal
group continued (Yelena Yasinnik); orders of finite orthogonal groups (Gabe
Cunningham).

**April 1.** Hermitian
forms (text, 85-89) (Harold Cooper).

**April 4.** Generators for
symplectic groups (Yaim Cooper).

**April 6.** Simplicity of PGL(n,F_q) (text, chapter
1) (David Glasser).

**April 8.** Generators for
unitary groups (Yaim Cooper).

**April 11.** Maximal parabolic subgroups in GL(n) and
Sp(2n) (David Vogan).

**April 13.** Simplicity of
PSp(2n,F_q) (text, chapter 3) (Gary Sivek).

**April 15.** Clifford algebras (text, chapter 8)
(John Rogers).

**April 20.** Maximal parabolic
subgroups in O(n) (Oleg Shamovsky). MEETING RESCHEDULED TO 4/21 at
7:00 p.m. in 4-145.

**April 22.** Counting points
in O(n)/maximal parabolic (Katherine Dalis). Counting points in Sp(2n)/maximal
parabolic. (medium - Jenna Hanlon).

**April 25.** Classical
linear groups are manifolds (long - Matt Garcia).

**April 27.** General parabolic
subgroups of Sp(2n) (Oleg Shamovsky).

**April 29.** Sylow
subgroups of Sp(2n,F_q) (long - Rachel Lee).

**May 2.** Some special
elements of orthogonal groups (Katherine Dalis).

**May 4.** General parabolic
subgroups of GL(n) (short - Matt Garcia). Conjugacy classes in GL(2,F_q) (short - Harold
Cooper).

**May 6.** Clifford algebra for a hyperbolic plane
(text, page 72) (short - Jenna Hanlon). Filtered algebras, graded algebras, and
Clifford algebras (short - Yaim Cooper).

**May 9.** Clifford algebras
redux (long - Eitan Reich). An application of Clifford algebras
(short - John Rogers).

**May 11.** Nicholas Lucero, topic TBA. Orthogonal geometry (medium, Oleg Shamovsky).