Week: March 20 — March 24, 2017 |

SMS Weekly Talk |

Thursday, March 21 at 2:30 pm in the SMS Seminar RoommSpeaker: Numan Amin (AS-SMS)Title: Introduction to Tropical GeometryAbstract: Tropical geometry is a fascinating area of mathematics that is relativelynew with connection to various other fields including physics and geometry. It has been studied quite vigorously in the last few years. I will discuss the basics of tropical geometry by explaining the arithmetic in tropical. I will define tropical polynomial, its hypersurface and explain the connection between the newton polygon and the hypersurface of tropical polynomial. We will also see the relation between the tropical variety with variety in classical geometry. |

Week: March 13 — March 17, 2017 |

SMS Weekly Talk |

Tuesday, March 14 at 2:30 pm in the SMS Seminar RoomSpeaker: Azeem Khadam (AS-SMS)Title: Grothendieck’s Local Cohomology — IIAbstract: I will continue my discussion of local cohomology which was introduced by Grothendieck in the early sixties. Local cohomology modules can be used to measure the depth of a module on an ideal, and as a way to test the Cohen-Macaulay properties. Moreover, the cohomology of coherent sheaves on projective varieties can be recovered from graded components of local cohomology modules, providing useful insights into theorems about projective varieties that were originally proved in other ways. |

SMS Weekly Talk |

Thursday, March 16 at 2:30 pm in the SMS Seminar RoomSpeaker: Shamsa Kanwal (AS-SMS)Title: Introduction to Border BasesAbstract: Gröbner bases has become an essential tool in algebra in the last few decades. Theory of Border bases is an extension of the theory of Gröbner bases in the case of zero-dimensional ideals. I will give a brief introduction to Border bases, its importance and some of its applications. Moreover, I will discuss the algorithm for the calculation of Border bases using some examples. |

**SMS Weekly Talk**

Speaker: Seyedeh Zahra Rezaei Lalami (University of Leicester)

Abstract: This talk aims at discussing the actuarial science as an emerging academic discipline. Actuarial science couples mathematics with other fields of science to consider real world scenarios. Part of the talk will be aimed at advertising the university of Leicester actual sciences program. I will discuss actuarial qualifications a student enrolled in the program can get. I will also discuss its wider scope in industry since university of Leicester has many top employers on its panel for student placement.

**SMS Weekly Talk**

Thursday, March 07 at 2:30 pm in the SMS Seminar Room

Speaker: Itrat Abbas (AS-SMS)

Title: Introduction to Fractional Order Viscoelasticity

Abstract: The fractional calculus and fractional differential equations are used quiet often to describe many physical phenomena. I will explain, using some examples, the use of fractional calculus to model some materials which lie between Hook’s solid and Newtonian fluids.

**Advanced Topics in Theoretical Physics**

Friday, March 10 at 3pm in the SMS Seminar Room

Speaker: Babar Qureshi (LUMS)

Title: Lorentz Invariance in Quantum Field Theory-II

Abstract: In the second lecture on the topic, I will discuss Dirac, Weyl and Majorana Lagrangians, coupling of electromagnetic field to matter, equations of motion,

Week: February 27 — March 03, 2017

**SMS Weekly Talk**

Tuesday, February 28 at 2:30 pm in the SMS Seminar Room

Speaker: Azeem Khadam

Title: Grothendieck’s Local Cohomology

Abstract: Local cohomology was introduced by Grothendieck in the early sixties, in part to answer a conjecture of Pierre Samuel about when certain types of commutative rings are unique factorization domains. Local cohomology modules can be used to measure the depth of a module on an ideal, and as a way to test the Cohen-Macaulay properties. Moreover, the cohomology of coherent sheaves on projective varieties can be recovered from graded components of local cohomology modules, providing useful insights into theorems about projective varieties that were originally proved in other ways.

**SMS Weekly Talk**

Thursday, March 02 at 2:30 pm in the SMS Seminar Room

Speaker: Laila Naqvi

Title: Mesh-free Methods in Numerical Analysis

**Advanced Topics in Theoretical Physics**

Friday, March 03 at 3pm in the SMS Seminar Room

Speaker: Babar Qureshi

Title: Lorentz Invariance in Quantum Field Theory

Abstract: In this lecture, I will discuss implementation of Lorentz symmetry in field theories. I will discuss action principles in general, Lorentz symmetry and its representations and construction of Lorentz invariant Lagrangians containing scalar, spinor and vector fields.

For more details about the talks please contact:

Dr. Imran Anwar

Email: imrananwar@sms.edu.pk

Tel: +92-42-99231859 Ext-104