Below are the requirements, you might expect to receive from a business analyst or product owner. These are often a good starting point for a broader conversation. If something is not clear, it's best to resolve any ambiguity before you begin.

As a conference organizer 
 I want to search for available speakers 
 So that I may contact them about my conference 

Given I am a conference organizer 
 And Given a speaker in mind 
 When I search for speakers by name 
 Then I receive speakers with a matching first name 

Given I am a conference organizer 
 And Given a speaker in mind 
 When I search for speakers by name 
 Then I receive speakers with a matching last name 

Upon speaking with our product owner, we determined that by the requirement of matching, what was truly desired was a starts-with match. If a conference organizer were to search for the string "Jos," the results for Josh, Joshua, Joseph, should be returned by the search routine.