University COVID-19 update

The University of Waterloo is constantly updating our most Frequently Asked Questions.

Questions about buildings and services? Visit the list of Modified Services.

Please note: The University of Waterloo is closed for all events until further notice.

Geometry & Topology SeminarExport this event to calendar

Friday, November 27, 2020 — 2:30 PM EST

Brady Ali Medina, Department of Pure Mathematics, University of Waterloo

"A different way to generalize the Weierstrass semigroup"

We propose a different way to generalize the concept of a Weierstrass semigroup H_P associated to a point P in a curve X of genus g. We start by defining the Weierstrass set of a vector bundle F with respect to a point P, and we prove that this set is an H_P - relative ideal. Also, if the vector bundle is semistable, we prove that the largest gap is less than 2g − μ(F), where μ(F) denotes the slope of F. Furthermore, when F is a line bundle, we define the Weierstrass semigroup of F with respect to a divisor D and we find that the largest gap is less than 2g − deg(F)/ deg(D). Moreover, in the case when D = P we find that the cardinality of the set of gaps is exactly l(K_X − deg(F)), which is a theorem analogous to the Weierstrass Gap Theorem.

Zoom meeting: https://zoom.us/j/93859138328

S M T W T F S
29
30
31
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
1
2
  1. 2021 (82)
    1. August (15)
    2. July (17)
    3. June (15)
    4. May (1)
    5. April (4)
    6. March (11)
    7. February (9)
    8. January (10)
  2. 2020 (103)
    1. December (10)
    2. November (12)
    3. October (4)
    4. September (3)
    5. August (1)
    6. July (5)
    7. June (1)
    8. May (3)
    9. March (16)
    10. February (26)
    11. January (22)
  3. 2019 (199)
  4. 2018 (212)
  5. 2017 (281)
  6. 2016 (335)
  7. 2015 (211)
  8. 2014 (235)
  9. 2013 (251)
  10. 2012 (135)