As graduate students, we are not unfamiliar with the daunting transition
from course work to research. In the process, it is likely that we will
need to patch holes in our education. More precisely, we
encounter topics that are mainstream mathematics all too familiar
to the seasoned researcher, but have somehow eluded our learning. These
might have been left out of the core algebra, analysis and topology
sequences, or maybe were mentioned briefly therein without detail. At
times we are expected to absorb this material in a timely manner for research
purposes, or sometimes these subjects fall under the category of "nice to
know". In any case, this sub-sequence of talks is intended for such topics.
The list below provides examples of possible talks and the GSO
organizers cordially invite all graduate students to volunteer to give
such a talk. Also, students should feel free to suggest topics that they deem as pertinent.
Suggestions?
If you would like to suggest a topic for a side course, please email any of the GSO organizers.
| TOPICS |
VOLUNTEER |
| Combinatorial Proof of Brouwer's fix point Theorem |
|
| Varieties |
|
| Tensors |
|
| Tensor / wedge products |
|
| Stone-Czech compactification of \N |
|
| Cayley Graphs |
|
| Dynamical Systems |
|
| Calabi-Yau manifolds |
|
| Prove that Flux can fly |
|
| Division Algebra |
|
| Freudenthal's magic square |
|
| Combinatorial Nullstellensatz |
|
| Dedekind cuts to construct \R |
|
| Projective Space |
|
| Spectral Theory |
|
| Microlocal Analysis |
|
| Convexity |
|
| Fast Multipole Methods |
|